{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 3.1 Parabolic model problem\n",
    "We are solving the unsteady heat equation \n",
    "\n",
    "$$\\text{find } u:[0,T] \\to H_{0,D}^1 \\quad \\int_{\\Omega} \\partial_t u v + \\int_{\\Omega} \\nabla u \\nabla v + b \\cdot \\nabla u v = \\int f v  \\quad \\forall v \\in H_{0,D}^1, \\quad u(t=0) = u_0$$\n",
    "\n",
    "with a suitable advective field $b$ (the wind)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "from netgen import gui\n",
    "from math import pi\n",
    "from ngsolve import *\n",
    "from netgen.geom2d import SplineGeometry"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "* Geometry: $(-1,1)^2$\n",
    "* Dirichlet boundaries everywhere\n",
    "* Mesh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "geo = SplineGeometry()\n",
    "geo.AddRectangle( (-1, -1), (1, 1), \n",
    "                 bcs = (\"bottom\", \"right\", \"top\", \"left\"))\n",
    "mesh = Mesh( geo.GenerateMesh(maxh=0.25))\n",
    "Draw(mesh)\n",
    "fes = H1(mesh, order=3, dirichlet=\"bottom|right|left|top\")\n",
    "\n",
    "u,v = fes.TnT()\n",
    "\n",
    "time = 0.0\n",
    "dt = 0.001"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We define the field $b$ (the wind) as \n",
    "\n",
    "$$b(x,y) := (2y(1-x^2),-2x(1-y^2)).$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "b = CoefficientFunction((2*y*(1-x*x),-2*x*(1-y*y)))\n",
    "Draw(b,mesh,\"wind\")\n",
    "from ngsolve.internal import visoptions\n",
    "visoptions.scalfunction = \"wind:0\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "* bilinear forms for \n",
    " * convection-diffusion stiffness and \n",
    " * mass matrix seperately.\n",
    "* non-symmetric memory layout for the mass matrix so that a and m have the same sparsity pattern."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "a = BilinearForm(fes, symmetric=False)\n",
    "a += 0.01*grad(u)*grad(v)*dx + b*grad(u)*v*dx\n",
    "a.Assemble()\n",
    "\n",
    "m = BilinearForm(fes, symmetric=False)\n",
    "m += u*v*dx\n",
    "m.Assemble()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Implicit Euler method\n",
    "$$\n",
    "  \\underbrace{(M + \\Delta t A)}_{M^\\ast} u^{n+1} = M u^n + \\Delta tf^{n+1}\n",
    "$$\n",
    "\n",
    "or in an incremental form:\n",
    "\n",
    "$$\n",
    "  M^\\ast (u^{n+1} - u^n) = - \\Delta t A u^n + \\Delta tf^{n+1}.\n",
    "$$\n",
    "\n",
    "* Incremental form: $u^{n+1} - u^n$ has homogeneous boundary conditions (unless boundary conditions are time-dependent).\n",
    "* For the time stepping method: set up linear combinations of matrices.\n",
    "* (Only) if the sparsity pattern of the matrices agree we can copy the pattern and sum up the entries."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "First, we create a matrix of the same size and sparsity pattern as m.mat:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11257 11257 11257\n",
      "Row 0:   0: 0.00520833   4: 0.00260417   31: 0.00260417   89: -0.000520833   90: 8.68056e-05   91: -0.000520833   92: 8.68056e-05   111: -0.000260417   112: -1.32137e-19   553: 0.000173611\n",
      "Row 1:   1: 0.00876989   10: 0.00223107   11: 0.00215387   38: 0.00438494   93: -0.000446214   94: 7.43691e-05   95: -0.000430774   96: 7.17957e-05   97: -0.000876989   98: 0.000146165   147: -0.000223107   148: 1.13502e-19   151: -0.000215387   152: -1.10114e-19   565: 0.000148738   567: 0.000143591\n",
      "Row 2:   2: 0.00520833   17: 0.00260417   18: 0.00260417   99: -0.000520833   100: 8.68056e-05   101: -0.000520833   102: 8.68056e-05   185: -0.000260417   186: 1.32137e-19   580: 0.000173611\n",
      "Row 3:   3: 0.00830036   24: 0.00210642   25: 0.00204376   51: 0.00415018   103: -0.000421283   104: 7.02139e-05   105: -0.000408752   106: 6.81254e-05   107: -0.000830036   108: 0.000138339   227: -0.000210642   228: 1.07573e-19   231: -0.000204376   232: -1.03338e-19   592: 0.000140428   594: 0.000136251\n",
      "Row 4:   0: 0.00260417   4: 0.0176694   5: 0.00262878   31: 0.00620594   32: 0.00623056   89: -0.000520833   90: -8.68056e-05   91: -0.000260417   92: -1.40607e-19   109: -0.000525757   110: 8.76261e-05   111: -0.00124119   112: 0.000206865   113: -0.00124611   114: 0.000207685   117: -0.000262878   118: -1.37219e-19   263: -0.000360177   264: 1.91429e-19   553: 0.000173611   554: 0.000175252   606: 0.000240118\n",
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      "Row 12:   11: 0.00189007   12: 0.0110856   13: 0.00188232   39: 0.00366048   40: 0.00365272   149: -0.000378014   150: -6.30024e-05   153: -0.000189007   154: -1.05032e-19   155: -0.000376463   156: 6.27439e-05   157: -0.000732096   158: 0.000122016   159: -0.000730545   160: 0.000121757   163: -0.000188232   164: -9.74088e-20   307: -0.000177041   308: 9.06325e-20   568: 0.000126005   570: 0.000125488   571: 0.000118027\n",
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      "Row 19:   18: 0.00209292   19: 0.0131064   20: 0.00247186   45: 0.00408135   46: 0.0044603   189: -0.000418584   190: -6.97639e-05   193: -0.000209292   194: -1.13502e-19   195: -0.000494372   196: 8.23953e-05   197: -0.000816271   198: 0.000136045   199: -0.000892059   200: 0.000148677   203: -0.000247186   204: -1.27055e-19   341: -0.000198844   342: 1.02491e-19   581: 0.000139528   582: 0.000164791   583: 0.000132562\n",
      "Row 20:   19: 0.00247186   20: 0.0150756   21: 0.00258718   46: 0.00495064   47: 0.00506596   195: -0.000494372   196: -8.23953e-05   199: -0.000247186   200: -1.35525e-19   201: -0.000517436   202: 8.62394e-05   203: -0.000990129   204: 0.000165021   205: -0.00101319   206: 0.000168865   209: -0.000258718   210: -1.33831e-19   345: -0.000247878   346: 1.25361e-19   582: 0.000164791   584: 0.000172479   585: 0.000165252\n",
      "Row 21:   20: 0.00258718   21: 0.0150174   22: 0.00243056   47: 0.00507815   48: 0.00492153   201: -0.000517436   202: -8.62394e-05   205: -0.000258718   206: -1.42302e-19   207: -0.000486112   208: 8.10187e-05   209: -0.00101563   210: 0.000169272   211: -0.000984306   212: 0.000164051   215: -0.000243056   216: -1.23667e-19   351: -0.000249097   352: 1.25361e-19   584: 0.000172479   586: 0.000162037   587: 0.000166065\n",
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      "Row 23:   22: 0.00220931   23: 0.0121269   24: 0.00197374   49: 0.00408973   50: 0.00385416   213: -0.000441862   214: -7.36436e-05   217: -0.000220931   218: -1.20279e-19   219: -0.000394748   220: 6.57914e-05   221: -0.000817946   222: 0.000136324   223: -0.000770833   224: 0.000128472   225: -0.000197374   226: -1.01644e-19   363: -0.000188042   364: 9.74088e-20   588: 0.000147287   590: 0.000131583   591: 0.000125362\n",
      "Row 24:   3: 0.00210642   23: 0.00197374   24: 0.0118685   50: 0.00382784   51: 0.00396051   103: -0.000421283   104: -7.02139e-05   107: -0.000210642   108: -5.0822e-21   219: -0.000394748   220: -6.57914e-05   223: -0.000197374   224: -1.06726e-19   225: -0.000765567   226: 0.000127595   227: -0.000792102   228: 0.000132017   369: -0.000185409   370: 9.40207e-20   590: 0.000131583   592: 0.000140428   593: 0.000123606\n",
      "Row 25:   3: 0.00204376   25: 0.0114323   26: 0.00184735   51: 0.00386882   52: 0.0036724   105: -0.000408752   106: -6.81254e-05   107: -0.000204376   108: -1.11808e-19   229: -0.000369469   230: 6.15782e-05   231: -0.000773763   232: 0.000128961   233: -0.00073448   234: 0.000122413   237: -0.000184735   238: -9.40207e-20   375: -0.000182505   376: 9.14796e-20   594: 0.000136251   595: 0.000123156   596: 0.00012167\n",
      "Row 26:   25: 0.00184735   26: 0.0113099   27: 0.00202749   52: 0.00362744   53: 0.00380758   229: -0.000369469   230: -6.15782e-05   233: -0.000184735   234: -9.99499e-20   235: -0.000405498   236: 6.75829e-05   237: -0.000725488   238: 0.000120915   239: -0.000761516   240: 0.000126919   243: -0.000202749   244: -1.05879e-19   379: -0.000178009   380: 8.97855e-20   595: 0.000123156   597: 0.000135166   598: 0.000118673\n",
      "Row 27:   26: 0.00202749   27: 0.0124285   28: 0.00216196   53: 0.0040523   54: 0.00418677   235: -0.000405498   236: -6.75829e-05   239: -0.000202749   240: -1.11808e-19   241: -0.000432391   242: 7.20652e-05   243: -0.00081046   244: 0.000135077   245: -0.000837353   246: 0.000139559   249: -0.000216196   250: -1.11808e-19   385: -0.000202481   386: 1.02491e-19   597: 0.000135166   599: 0.00014413   600: 0.000134987\n",
      "Row 28:   27: 0.00216196   28: 0.0130178   29: 0.00215949   54: 0.00434943   55: 0.00434696   241: -0.000432391   242: -7.20652e-05   245: -0.000216196   246: -1.18585e-19   247: -0.000431898   248: 7.1983e-05   249: -0.000869885   250: 0.000144981   251: -0.000869392   252: 0.000144899   255: -0.000215949   256: -1.09267e-19   391: -0.000218747   392: 1.11808e-19   599: 0.00014413   601: 0.000143966   602: 0.000145831\n",
      "Row 29:   28: 0.00215949   29: 0.0144532   30: 0.00233331   55: 0.00489327   56: 0.00506709   247: -0.000431898   248: -7.1983e-05   251: -0.000215949   252: -1.18585e-19   253: -0.000466661   254: 7.77769e-05   255: -0.000978654   256: 0.000163109   257: -0.00101342   258: 0.000168903   261: -0.000233331   262: -1.20279e-19   397: -0.000273378   398: 1.38913e-19   601: 0.000143966   603: 0.000155554   604: 0.000182252\n",
      "Row 30:   29: 0.00233331   30: 0.00933322   31: 0.00233331   56: 0.00466661   253: -0.000466661   254: -7.77769e-05   257: -0.000233331   258: -1.25361e-19   259: -0.000466661   260: 7.77769e-05   261: -0.000933322   262: 0.000155554   265: -0.000233331   266: -1.20279e-19   603: 0.000155554   605: 0.000155554\n",
      "Row 31:   0: 0.00260417   4: 0.00620594   30: 0.00233331   31: 0.0250329   32: 0.007579   56: 0.00631053   89: -0.000260417   90: -3.38813e-21   91: -0.000520833   92: -8.68056e-05   111: -0.00124119   112: -0.000206865   113: -0.000360177   114: -1.01644e-20   259: -0.000466661   260: -7.77769e-05   261: -0.000233331   262: -1.27055e-19   263: -0.0015158   264: 0.000252633   265: -0.00126211   266: 0.000210351   269: -0.000397723   270: -1.999e-19   553: 0.000173611   605: 0.000155554   606: 0.000240118   609: 0.000265149\n",
      "Row 32:   4: 0.00623056   5: 0.00542115   31: 0.007579   32: 0.0374806   33: 0.00555685   56: 0.00695292   58: 0.00574017   109: -0.000262878   110: -8.47033e-21   111: -0.000360177   112: -1.96512e-19   113: -0.00124611   114: -0.000207685   117: -0.00108423   118: -0.000180705   119: -0.000279236   120: -6.77626e-21   263: -0.0015158   264: -0.000252633   265: -0.000397723   266: -2.1684e-19   267: -0.00111137   268: 0.000185228   269: -0.00139058   270: 0.000231764   271: -0.00114803   272: 0.000191339   277: -0.000276449   278: -1.42302e-19   403: -0.000297569   404: 1.50772e-19   554: 0.000175252   556: 0.000186157   606: 0.000240118   609: 0.000265149   611: 0.000184299   654: 0.000198379\n",
      "Row 33:   5: 0.00529703   6: 0.00501165   32: 0.00555685   33: 0.0313261   34: 0.0050557   57: 0.00509457   58: 0.00531034   115: -0.000250466   116: -6.77626e-21   117: -0.000279236   118: -1.52466e-19   119: -0.00105941   120: -0.000176568   123: -0.00100233   124: -0.000167055   125: -0.000250699   126: -5.0822e-21   267: -0.00111137   268: -0.000185228   271: -0.000276449   272: -1.50772e-19   273: -0.00101114   274: 0.000168523   275: -0.00101891   276: 0.000169819   277: -0.00106207   278: 0.000177011   281: -0.000254871   282: -1.32137e-19   407: -0.000254586   408: -1.30443e-19   555: 0.000166978   556: 0.000186157   558: 0.000167132   610: 0.000169914   611: 0.000184299   612: 0.000169724\n",
      "Row 34:   6: 0.004939   7: 0.0047422   33: 0.0050557   34: 0.0293228   35: 0.00469334   57: 0.00502906   76: 0.0048635   121: -0.000243202   122: -6.77626e-21   123: -0.000250699   124: -1.37219e-19   125: -0.000987801   126: -0.000164633   129: -0.000948441   130: -0.000158073   131: -0.000231019   132: -6.77626e-21   273: -0.00101114   274: -0.000168523   275: -0.000254871   276: -1.38913e-19   279: -0.000938668   280: 0.000156445   281: -0.00100581   282: 0.000167635   283: -0.000972701   284: 0.000162117   289: -0.000238315   290: -1.21973e-19   409: -0.000248035   410: 1.27055e-19   557: 0.000162134   558: 0.000167132   560: 0.000154012   610: 0.000169914   649: 0.000158877   652: 0.000165357\n",
      "Row 35:   7: 0.00462318   8: 0.0043161   34: 0.00469334   35: 0.026858   36: 0.0041873   59: 0.00441956   76: 0.00461852   127: -0.000231299   128: -3.38813e-21   129: -0.000231019   130: -1.25361e-19   131: -0.000924635   132: -0.000154106   135: -0.00086322   136: -0.00014387   137: -0.000200311   138: -6.77626e-21   279: -0.000938668   280: -0.000156445   283: -0.000238315   284: -1.30443e-19   285: -0.00083746   286: 0.000139577   287: -0.000883913   288: 0.000147319   289: -0.000923705   290: 0.000153951   293: -0.000218419   294: -1.11808e-19   421: -0.000223537   422: -1.15196e-19   559: 0.000154199   560: 0.000154012   562: 0.000133541   613: 0.000145613   649: 0.000158877   650: 0.000149025\n",
      "Row 36:   8: 0.00407506   9: 0.00395029   35: 0.0041873   36: 0.0230183   37: 0.00355316   59: 0.00388091   60: 0.00337154   133: -0.000207195   134: -3.38813e-21   135: -0.000200311   136: -1.10114e-19   137: -0.000815012   138: -0.000135835   141: -0.000790058   142: -0.000131676   143: -0.000187834   144: -5.0822e-21   285: -0.00083746   286: -0.000139577   287: -0.000218419   288: -1.20279e-19   291: -0.000710633   292: 0.000118439   293: -0.000776182   294: 0.000129364   295: -0.000674309   296: 0.000112385   299: -0.000167482   300: -8.80914e-20   419: -0.000169672   420: 8.80914e-20   561: 0.00013813   562: 0.000133541   564: 0.000125223   613: 0.000145613   614: 0.000111655   615: 0.000113115\n",
      "Row 37:   9: 0.00390268   10: 0.00393493   36: 0.00355316   37: 0.0216543   38: 0.00373252   60: 0.00319195   61: 0.00333906   139: -0.000202434   140: -5.0822e-21   141: -0.000187834   142: -1.03338e-19   143: -0.000780537   144: -0.000130089   145: -0.000786987   146: -0.000131164   147: -0.000191059   148: -6.77626e-21   291: -0.000710633   292: -0.000118439   295: -0.000167482   296: -9.23266e-20   297: -0.000746505   298: 0.000124417   299: -0.000638391   300: 0.000106398   301: -0.000667813   302: 0.000111302   305: -0.000182193   306: -9.14796e-20   427: -0.000151713   428: 7.708e-20   563: 0.000134956   564: 0.000125223   566: 0.000127373   614: 0.000111655   616: 0.000121462   617: 0.000101142\n",
      "Row 38:   1: 0.00438494   10: 0.00414166   11: 0.00404934   37: 0.00373252   38: 0.0236123   39: 0.00368869   61: 0.00361516   93: -0.000223107   94: -1.20279e-19   95: -0.000215387   96: -6.77626e-21   97: -0.000876989   98: -0.000146165   145: -0.000191059   146: -1.05032e-19   147: -0.000828333   148: -0.000138055   151: -0.000809867   152: -0.000134978   153: -0.000189546   154: -5.0822e-21   297: -0.000746505   298: -0.000124417   301: -0.000182193   302: -9.82558e-20   303: -0.000737738   304: 0.000122956   305: -0.000723032   306: 0.000120505   309: -0.000179323   310: -9.23266e-20   565: 0.000148738   566: 0.000127373   567: 0.000143591   569: 0.000126364   616: 0.000121462   618: 0.000119549\n",
      "Row 39:   11: 0.00378553   12: 0.00366048   38: 0.00368869   39: 0.0208768   40: 0.00337658   61: 0.00327628   63: 0.00308922   149: -0.000189007   150: -3.38813e-21   151: -0.000189546   152: -1.03338e-19   153: -0.000757107   154: -0.000126184   157: -0.000732096   158: -0.000122016   159: -0.000177041   160: -5.0822e-21   303: -0.000737738   304: -0.000122956   305: -0.000179323   306: -9.82558e-20   307: -0.000675316   308: 0.000112553   309: -0.000655255   310: 0.000109209   311: -0.000617844   312: 0.000102974   317: -0.000160617   318: -8.21622e-20   431: -0.000148305   432: 7.45389e-20   568: 0.000126005   569: 0.000126364   571: 0.000118027   618: 0.000119549   620: 0.000107078   621: 9.88699e-05\n",
      "Row 40:   12: 0.00365272   13: 0.00372861   39: 0.00337658   40: 0.0214383   41: 0.00385204   62: 0.00361394   63: 0.00321436   155: -0.000188232   156: -5.0822e-21   157: -0.000177041   158: -9.48677e-20   159: -0.000730545   160: -0.000121757   163: -0.000745723   164: -0.000124287   165: -0.00018463   166: -5.0822e-21   307: -0.000675316   308: -0.000112553   311: -0.000160617   312: -8.80914e-20   313: -0.000770408   314: 0.000128401   315: -0.000722787   316: 0.000120465   317: -0.000642872   318: 0.000107145   321: -0.000200575   322: -1.03338e-19   435: -0.000160819   436: -8.13152e-20   570: 0.000125488   571: 0.000118027   573: 0.000123086   619: 0.000133716   620: 0.000107078   622: 0.000107213\n",
      "Row 41:   13: 0.00395188   14: 0.0042375   40: 0.00385204   41: 0.0248299   42: 0.00434901   62: 0.00411407   64: 0.00432542   161: -0.000210558   162: -5.0822e-21   163: -0.00018463   164: -9.99499e-20   165: -0.000790375   166: -0.000131729   169: -0.0008475   170: -0.00014125   171: -0.000213192   172: -5.0822e-21   313: -0.000770408   314: -0.000128401   315: -0.000200575   316: -1.10114e-19   319: -0.000869803   320: 0.000144967   321: -0.000822814   322: 0.000137136   323: -0.000865084   324: 0.000144181   327: -0.000221709   328: -1.13502e-19   437: -0.000210833   438: 1.0842e-19   572: 0.000140372   573: 0.000123086   575: 0.000142128   619: 0.000133716   623: 0.000147806   624: 0.000140555\n",
      "Row 42:   14: 0.00437955   15: 0.00453363   41: 0.00434901   42: 0.0273381   43: 0.00468135   64: 0.00460814   65: 0.00478641   167: -0.000224763   168: -8.47033e-21   169: -0.000213192   170: -1.16891e-19   171: -0.000875911   172: -0.000145985   175: -0.000906725   176: -0.000151121   177: -0.000228599   178: -6.77626e-21   319: -0.000869803   320: -0.000144967   323: -0.000221709   324: -1.18585e-19   325: -0.000936271   326: 0.000156045   327: -0.000921629   328: 0.000153605   329: -0.000957282   330: 0.000159547   333: -0.000239536   334: -1.21973e-19   445: -0.000239105   446: 1.20279e-19   574: 0.000149842   575: 0.000142128   577: 0.0001524   623: 0.000147806   625: 0.000159691   626: 0.000159403\n",
      "Row 43:   15: 0.00457568   16: 0.00461507   42: 0.00468135   43: 0.0282831   44: 0.00474606   65: 0.00481983   66: 0.00484514   173: -0.000228968   174: -5.0822e-21   175: -0.000228599   176: -1.23667e-19   177: -0.000915135   178: -0.000152523   181: -0.000923014   182: -0.000153836   183: -0.000232539   184: -3.38813e-21   325: -0.000936271   326: -0.000156045   329: -0.000239536   330: -1.32137e-19   331: -0.000949212   332: 0.000158202   333: -0.000963965   334: 0.000160661   335: -0.000969028   336: 0.000161505   339: -0.000242067   340: -1.23667e-19   451: -0.000242447   452: 1.25361e-19   576: 0.000152645   577: 0.0001524   579: 0.000155026   625: 0.000159691   627: 0.000161378   628: 0.000161631\n",
      "Row 44:   16: 0.00451402   17: 0.00524685   18: 0.00547401   43: 0.00474606   44: 0.0289887   45: 0.00450144   66: 0.00450632   179: -0.000218863   180: -5.0822e-21   181: -0.000232539   182: -1.25361e-19   183: -0.000902804   184: -0.000150467   185: -0.000305822   186: -6.77626e-21   187: -0.00104937   188: -0.000174895   191: -0.0010948   192: -0.000182467   193: -0.000241579   194: -6.77626e-21   331: -0.000949212   332: -0.000158202   335: -0.000242067   336: -1.32137e-19   337: -0.000900289   338: 0.000150048   339: -0.000901265   340: 0.000150211   343: -0.000208565   344: -1.07573e-19   578: 0.000145909   579: 0.000155026   607: 0.000203881   608: 0.000161053   627: 0.000161378   629: 0.000139044\n",
      "Row 45:   18: 0.00450871   19: 0.00408135   44: 0.00450144   45: 0.0213661   46: 0.00408867   66: 0.00418588   189: -0.000209292   190: -5.0822e-21   191: -0.000241579   192: -1.32137e-19   193: -0.000901742   194: -0.00015029   197: -0.000816271   198: -0.000136045   199: -0.000198844   200: -3.38813e-21   337: -0.000900289   338: -0.000150048   339: -0.000208565   340: -1.15196e-19   341: -0.000817733   342: 0.000136289   343: -0.000837177   344: 0.000139529   347: -0.000210023   348: -1.06726e-19   581: 0.000139528   583: 0.000132562   608: 0.000161053   629: 0.000139044   633: 0.000140015\n",
      "Row 46:   19: 0.0044603   20: 0.00495064   45: 0.00408867   46: 0.0297875   47: 0.00542411   66: 0.00500933   68: 0.00585443   195: -0.000247186   196: -5.0822e-21   197: -0.000198844   198: -1.0842e-19   199: -0.000892059   200: -0.000148677   203: -0.000990129   204: -0.000165021   205: -0.000247878   206: -6.77626e-21   341: -0.000817733   342: -0.000136289   343: -0.000210023   344: -1.15196e-19   345: -0.00108482   346: 0.000180804   347: -0.00100187   348: 0.000166978   349: -0.00117089   350: 0.000195148   355: -0.000294532   356: -1.49078e-19   457: -0.00029091   458: 1.4569e-19   582: 0.000164791   583: 0.000132562   585: 0.000165252   631: 0.000196355   633: 0.000140015   651: 0.00019394\n",
      "Row 47:   20: 0.00506596   21: 0.00507815   46: 0.00542411   47: 0.0323881   48: 0.00507798   67: 0.00569179   68: 0.0060501   201: -0.000258718   202: -8.47033e-21   203: -0.000247878   204: -1.35525e-19   205: -0.00101319   206: -0.000168865   209: -0.00101563   210: -0.000169272   211: -0.000249097   212: -5.0822e-21   345: -0.00108482   346: -0.000180804   349: -0.000294532   350: -1.6263e-19   351: -0.0010156   352: 0.000169266   353: -0.00113836   354: 0.000189726   355: -0.00121002   356: 0.00020167   359: -0.000258701   360: -1.32137e-19   459: -0.000310478   460: -1.55854e-19   584: 0.000172479   585: 0.000165252   587: 0.000166065   630: 0.000172468   631: 0.000196355   632: 0.000206985\n",
      "Row 48:   21: 0.00492153   22: 0.00463285   47: 0.00507798   48: 0.0289308   49: 0.00449759   67: 0.0050463   69: 0.00475459   207: -0.000243056   208: -8.47033e-21   209: -0.000249097   210: -1.37219e-19   211: -0.000984306   212: -0.000164051   215: -0.00092657   216: -0.000154428   217: -0.000220229   218: -5.0822e-21   351: -0.0010156   352: -0.000169266   353: -0.000258701   354: -1.42302e-19   357: -0.000899518   358: 0.00014992   359: -0.00100926   360: 0.00016821   361: -0.000950917   362: 0.000158486   365: -0.00022953   366: -1.16891e-19   461: -0.000245929   462: 1.25361e-19   586: 0.000162037   587: 0.000166065   589: 0.000146819   630: 0.000172468   634: 0.00015302   635: 0.000163952\n",
      "Row 49:   22: 0.0044116   23: 0.00408973   48: 0.00449759   49: 0.0251162   50: 0.0038287   69: 0.00431781   70: 0.00397079   213: -0.000220931   214: -5.0822e-21   215: -0.000220229   216: -1.21973e-19   217: -0.00088232   218: -0.000147053   221: -0.000817946   222: -0.000136324   223: -0.000188042   224: -3.38813e-21   357: -0.000899518   358: -0.00014992   361: -0.00022953   362: -1.25361e-19   363: -0.00076574   364: 0.000127623   365: -0.000863563   366: 0.000143927   367: -0.000794158   368: 0.00013236   371: -0.000194828   372: -9.99499e-20   471: -0.000202251   472: 1.03338e-19   588: 0.000147287   589: 0.000146819   591: 0.000125362   634: 0.00015302   636: 0.000129885   637: 0.000134834\n",
      "Row 50:   23: 0.00385416   24: 0.00382784   49: 0.0038287   50: 0.0214145   51: 0.00338828   70: 0.00346481   71: 0.00305071   219: -0.000197374   220: -5.0822e-21   221: -0.000188042   222: -1.01644e-19   223: -0.000770833   224: -0.000128472   225: -0.000765567   226: -0.000127595   227: -0.000185409   228: -5.0822e-21   363: -0.00076574   364: -0.000127623   367: -0.000194828   368: -1.06726e-19   369: -0.000677656   370: 0.000112943   371: -0.000692961   372: 0.000115494   373: -0.000610142   374: 0.00010169   377: -0.000153418   378: -7.87741e-20   477: -0.000151653   478: 7.7927e-20   590: 0.000131583   591: 0.000125362   593: 0.000123606   636: 0.000129885   638: 0.000102279   639: 0.000101102\n",
      "Row 51:   3: 0.00415018   24: 0.00396051   25: 0.00386882   50: 0.00338828   51: 0.0217583   52: 0.00334069   71: 0.00304982   103: -0.000210642   104: -1.15196e-19   105: -0.000204376   106: -6.77626e-21   107: -0.000830036   108: -0.000138339   225: -0.000185409   226: -1.01644e-19   227: -0.000792102   228: -0.000132017   231: -0.000773763   232: -0.000128961   233: -0.000182505   234: -5.0822e-21   369: -0.000677656   370: -0.000112943   373: -0.000153418   374: -8.21622e-20   375: -0.000668138   376: 0.000111356   377: -0.000609964   378: 0.000101661   381: -0.000151564   382: -7.7927e-20   592: 0.000140428   593: 0.000123606   594: 0.000136251   596: 0.00012167   638: 0.000102279   640: 0.000101042\n",
      "Row 52:   25: 0.0036724   26: 0.00362744   51: 0.00334069   52: 0.0206768   53: 0.00365568   71: 0.00301032   73: 0.00337027   229: -0.000184735   230: -6.77626e-21   231: -0.000182505   232: -9.99499e-20   233: -0.00073448   234: -0.000122413   237: -0.000725488   238: -0.000120915   239: -0.000178009   240: -3.38813e-21   375: -0.000668138   376: -0.000111356   377: -0.000151564   378: -8.21622e-20   379: -0.000731136   380: 0.000121856   381: -0.000602063   382: 0.000100344   383: -0.000674053   384: 0.000112342   389: -0.000187559   390: -9.74088e-20   483: -0.000149468   484: 7.708e-20   595: 0.000123156   596: 0.00012167   598: 0.000118673   640: 0.000101042   642: 0.000125039   643: 9.96453e-05\n",
      "Row 53:   26: 0.00380758   27: 0.0040523   52: 0.00365568   53: 0.0236258   54: 0.00416528   72: 0.00410492   73: 0.00384004   235: -0.000202749   236: -3.38813e-21   237: -0.000178009   238: -9.74088e-20   239: -0.000761516   240: -0.000126919   243: -0.00081046   244: -0.000135077   245: -0.000202481   246: -3.38813e-21   379: -0.000731136   380: -0.000121856   383: -0.000187559   384: -1.03338e-19   385: -0.000833056   386: 0.000138843   387: -0.000820985   388: 0.000136831   389: -0.000768007   390: 0.000128001   393: -0.000214047   394: -1.09267e-19   485: -0.000196445   486: -1.00797e-19   597: 0.000135166   598: 0.000118673   600: 0.000134987   641: 0.000142698   642: 0.000125039   644: 0.000130963\n",
      "Row 54:   27: 0.00418677   28: 0.00434943   53: 0.00416528   54: 0.0261066   55: 0.00450275   72: 0.00436379   74: 0.00453859   241: -0.000216196   242: -6.77626e-21   243: -0.000202481   244: -1.11808e-19   245: -0.000837353   246: -0.000139559   249: -0.000869885   250: -0.000144981   251: -0.000218747   252: -6.77626e-21   385: -0.000833056   386: -0.000138843   387: -0.000214047   388: -1.16891e-19   391: -0.000900549   392: 0.000150092   393: -0.000872758   394: 0.00014546   395: -0.000907719   396: 0.000151286   399: -0.000231528   400: -1.18585e-19   487: -0.000222332   488: 1.13502e-19   599: 0.00014413   600: 0.000134987   602: 0.000145831   641: 0.000142698   645: 0.000154352   646: 0.000148221\n",
      "Row 55:   28: 0.00434696   29: 0.00489327   54: 0.00450275   55: 0.0278304   56: 0.00517721   74: 0.00439104   75: 0.00451919   247: -0.000215949   248: -5.0822e-21   249: -0.000218747   250: -1.18585e-19   251: -0.000869392   252: -0.000144899   255: -0.000978654   256: -0.000163109   257: -0.000273378   258: -8.47033e-21   391: -0.000900549   392: -0.000150092   395: -0.000231528   396: -1.23667e-19   397: -0.00103544   398: 0.000172574   399: -0.000878208   400: 0.000146368   401: -0.000903838   402: 0.00015064   405: -0.000244343   406: -1.23667e-19   495: -0.000207576   496: 1.05879e-19   601: 0.000143966   602: 0.000145831   604: 0.000182252   645: 0.000154352   647: 0.000162895   648: 0.000138384\n",
      "Row 56:   29: 0.00506709   30: 0.00466661   31: 0.00631053   32: 0.00695292   55: 0.00517721   56: 0.038399   58: 0.00537845   75: 0.00484619   253: -0.000233331   254: -5.0822e-21   255: -0.000273378   256: -1.4569e-19   257: -0.00101342   258: -0.000168903   259: -0.000233331   260: -1.69407e-21   261: -0.000933322   262: -0.000155554   263: -0.000397723   264: -1.01644e-20   265: -0.00126211   266: -0.000210351   269: -0.00139058   270: -0.000231764   271: -0.000297569   272: -6.77626e-21   397: -0.00103544   398: -0.000172574   401: -0.000244343   402: -1.33831e-19   403: -0.00107569   404: 0.000179282   405: -0.000969237   406: 0.00016154   415: -0.000240276   416: -1.23667e-19   603: 0.000155554   604: 0.000182252   605: 0.000155554   609: 0.000265149   647: 0.000162895   653: 0.000160184   654: 0.000198379\n",
      "Row 57:   33: 0.00509457   34: 0.00502906   57: 0.030962   58: 0.00555949   76: 0.00476273   83: 0.00489246   84: 0.00562372   273: -0.000254871   274: -8.47033e-21   275: -0.00101891   276: -0.000169819   277: -0.000254586   278: -1.40607e-19   281: -0.00100581   282: -0.000167635   283: -0.000248035   284: -6.77626e-21   407: -0.0011119   408: 0.000185316   409: -0.000952546   410: 0.000158758   411: -0.000978492   412: 0.000163082   413: -0.00112474   414: 0.000187457   417: -0.000301364   418: 1.5416e-19   503: -0.000228238   504: -1.13502e-19   535: -0.000261009   536: -1.33831e-19   610: 0.000169914   612: 0.000169724   652: 0.000165357   667: 0.000152158   668: 0.000200909   670: 0.000174006\n",
      "Row 58:   32: 0.00574017   33: 0.00531034   56: 0.00537845   57: 0.00555949   58: 0.0324639   75: 0.0049323   84: 0.00554318   267: -0.000276449   268: -8.47033e-21   269: -0.000297569   270: -1.6263e-19   271: -0.00114803   272: -0.000191339   275: -0.000254586   276: -6.77626e-21   277: -0.00106207   278: -0.000177011   403: -0.00107569   404: -0.000179282   405: -0.000240276   406: -1.30443e-19   407: -0.0011119   408: -0.000185316   413: -0.000301364   414: -6.77626e-21   415: -0.00098646   416: 0.00016441   417: -0.00110864   418: 0.000184773   501: -0.000252954   502: 1.30443e-19   611: 0.000184299   612: 0.000169724   653: 0.000160184   654: 0.000198379   668: 0.000200909   669: 0.000168636\n",
      "Row 59:   35: 0.00441956   36: 0.00388091   59: 0.02717   60: 0.00362688   76: 0.00489808   77: 0.00480602   86: 0.00553858   285: -0.000218419   286: -5.0822e-21   287: -0.000883913   288: -0.000147319   289: -0.000223537   290: -1.21973e-19   293: -0.000776182   294: -0.000129364   295: -0.000169672   296: -5.0822e-21   419: -0.000725376   420: 0.000120896   421: -0.000979617   422: 0.000163269   423: -0.000961204   424: 0.000160201   425: -0.00110772   426: 0.000184619   429: -0.000193016   430: -1.00797e-19   505: -0.000266271   506: 1.35525e-19   509: -0.000287587   510: -1.4569e-19   613: 0.000145613   615: 0.000113115   650: 0.000149025   657: 0.000128677   675: 0.000177514   679: 0.000191724\n",
      "Row 60:   36: 0.00337154   37: 0.00319195   59: 0.00362688   60: 0.0172367   61: 0.00331662   77: 0.00372965   291: -0.000167482   292: -3.38813e-21   293: -0.000169672   294: -9.23266e-20   295: -0.000674309   296: -0.000112385   299: -0.000638391   300: -0.000106398   301: -0.000151713   302: -3.38813e-21   419: -0.000725376   420: -0.000120896   423: -0.000193016   424: -1.06726e-19   427: -0.000663325   428: 0.000110554   429: -0.00074593   430: 0.000124322   433: -0.000179949   434: -9.14796e-20   614: 0.000111655   615: 0.000113115   617: 0.000101142   655: 0.000119966   657: 0.000128677\n",
      "Row 61:   37: 0.00333906   38: 0.00361516   39: 0.00327628   60: 0.00331662   61: 0.0203815   63: 0.00325896   77: 0.0035754   297: -0.000182193   298: -5.0822e-21   299: -0.000151713   300: -8.30092e-20   301: -0.000667813   302: -0.000111302   303: -0.000179323   304: -3.38813e-21   305: -0.000723032   306: -0.000120505   309: -0.000655255   310: -0.000109209   311: -0.000148305   312: -5.0822e-21   427: -0.000663325   428: -0.000110554   429: -0.000179949   430: -9.82558e-20   431: -0.000651791   432: 0.000108632   433: -0.00071508   434: 0.00011918   443: -0.000177591   444: -9.06325e-20   616: 0.000121462   617: 0.000101142   618: 0.000119549   621: 9.88699e-05   655: 0.000119966   656: 0.000118394\n",
      "Row 62:   40: 0.00361394   41: 0.00411407   62: 0.0245123   63: 0.00351017   64: 0.0043108   77: 0.00433141   78: 0.0046319   313: -0.000200575   314: -5.0822e-21   315: -0.000722787   316: -0.000120465   317: -0.000160819   318: -8.80914e-20   321: -0.000822814   322: -0.000137136   323: -0.000210833   324: -5.0822e-21   435: -0.000702034   436: 0.000117006   437: -0.00086216   438: 0.000143693   439: -0.000866282   440: 0.00014438   441: -0.000926381   442: 0.000154397   443: -0.000190198   444: 9.91029e-20   447: -0.000220247   448: -1.13502e-19   507: -0.000242943   508: 1.23667e-19   619: 0.000133716   622: 0.000107213   624: 0.000140555   659: 0.000146832   678: 0.000126799   684: 0.000161962\n",
      "Row 63:   39: 0.00308922   40: 0.00321436   61: 0.00325896   62: 0.00351017   63: 0.0167506   77: 0.00367789   307: -0.000160617   308: -5.0822e-21   309: -0.000148305   310: -8.13152e-20   311: -0.000617844   312: -0.000102974   315: -0.000160819   316: -3.38813e-21   317: -0.000642872   318: -0.000107145   431: -0.000651791   432: -0.000108632   433: -0.000177591   434: -9.57147e-20   435: -0.000702034   436: -0.000117006   439: -0.000190198   440: -6.77626e-21   443: -0.000735577   444: 0.000122596   620: 0.000107078   621: 9.88699e-05   622: 0.000107213   656: 0.000118394   678: 0.000126799\n",
      "Row 64:   41: 0.00432542   42: 0.00460814   62: 0.0043108   64: 0.0276378   65: 0.0048032   78: 0.00469027   82: 0.00489995   319: -0.000221709   320: -5.0822e-21   321: -0.000210833   322: -1.13502e-19   323: -0.000865084   324: -0.000144181   327: -0.000921629   328: -0.000153605   329: -0.000239105   330: -1.01644e-20   437: -0.00086216   438: -0.000143693   441: -0.000220247   442: -1.20279e-19   445: -0.00096064   446: 0.000160107   447: -0.000938054   448: 0.000156342   449: -0.00097999   450: 0.000163332   455: -0.000241215   456: -1.25361e-19   511: -0.00024878   512: 1.28749e-19   623: 0.000147806   624: 0.000140555   626: 0.000159403   659: 0.000146832   665: 0.00016081   666: 0.000165853\n",
      "Row 65:   42: 0.00478641   43: 0.00481983   64: 0.0048032   65: 0.0309626   66: 0.00528247   68: 0.00585825   82: 0.00541239   325: -0.000239536   326: -6.77626e-21   327: -0.000239105   328: -1.30443e-19   329: -0.000957282   330: -0.000159547   333: -0.000963965   334: -0.000160661   335: -0.000242447   336: -1.01644e-20   445: -0.00096064   446: -0.000160107   449: -0.000241215   450: -1.30443e-19   451: -0.00105649   452: 0.000176082   453: -0.00117165   454: 0.000195275   455: -0.00108248   456: 0.000180413   457: -0.0002858   458: -1.47384e-19   469: -0.000300024   470: -1.52466e-19   625: 0.000159691   626: 0.000159403   628: 0.000161631   658: 0.000190534   665: 0.00016081   673: 0.000200016\n",
      "Row 66:   43: 0.00484514   44: 0.00450632   45: 0.00418588   46: 0.00500933   65: 0.00528247   66: 0.0295963   68: 0.00576711   331: -0.000242067   332: -5.0822e-21   333: -0.000242447   334: -1.32137e-19   335: -0.000969028   336: -0.000161505   337: -0.000208565   338: -6.77626e-21   339: -0.000901265   340: -0.000150211   341: -0.000210023   342: -3.38813e-21   343: -0.000837177   344: -0.000139529   347: -0.00100187   348: -0.000166978   349: -0.00029091   350: -1.01644e-20   451: -0.00105649   452: -0.000176082   453: -0.0002858   454: -1.57548e-19   457: -0.00115342   458: 0.000192237   627: 0.000161378   628: 0.000161631   629: 0.000139044   633: 0.000140015   651: 0.00019394   658: 0.000190534\n",
      "Row 67:   47: 0.00569179   48: 0.0050463   67: 0.0331177   68: 0.00620912   69: 0.0050632   80: 0.00530345   81: 0.00580387   351: -0.000258701   352: -8.47033e-21   353: -0.00113836   354: -0.000189726   355: -0.000310478   356: -1.67713e-19   359: -0.00100926   360: -0.00016821   361: -0.000245929   362: -3.38813e-21   459: -0.00124182   460: 0.000206971   461: -0.00101264   462: 0.000168773   463: -0.00106069   464: 0.000176782   465: -0.00116077   466: 0.000193462   467: -0.000310434   468: 1.59242e-19   475: -0.000260392   476: -1.33831e-19   521: -0.000269953   522: -1.37219e-19   630: 0.000172468   632: 0.000206985   635: 0.000163952   661: 0.000173594   663: 0.000206956   664: 0.000179969\n",
      "Row 68:   46: 0.00585443   47: 0.0060501   65: 0.00585825   66: 0.00576711   67: 0.00620912   68: 0.042036   81: 0.00620056   82: 0.00609646   345: -0.000294532   346: -6.77626e-21   347: -0.00029091   348: -1.59242e-19   349: -0.00117089   350: -0.000195148   353: -0.000310478   354: -3.38813e-21   355: -0.00121002   356: -0.00020167   451: -0.0002858   452: -1.01644e-20   453: -0.00117165   454: -0.000195275   455: -0.000300024   456: -1.64324e-19   457: -0.00115342   458: -0.000192237   459: -0.00124182   460: -0.000206971   465: -0.000310434   466: -6.77626e-21   467: -0.00124011   468: 0.000206685   469: -0.00121929   470: 0.000203215   527: -0.000309622   528: -1.60936e-19   631: 0.000196355   632: 0.000206985   651: 0.00019394   658: 0.000190534   663: 0.000206956   673: 0.000200016   680: 0.000206414\n",
      "Row 69:   48: 0.00475459   49: 0.00431781   67: 0.0050632   69: 0.0277734   70: 0.00412763   79: 0.0045057   80: 0.00500449   357: -0.00022953   358: -3.38813e-21   359: -0.000245929   360: -1.33831e-19   361: -0.000950917   362: -0.000158486   365: -0.000863563   366: -0.000143927   367: -0.000202251   368: -5.0822e-21   461: -0.00101264   462: -0.000168773   463: -0.000260392   464: -1.38913e-19   471: -0.000825527   472: 0.000137588   473: -0.000901139   474: 0.00015019   475: -0.0010009   476: 0.000166816   481: -0.000210512   482: -1.05879e-19   517: -0.000240057   518: -1.23667e-19   634: 0.00015302   635: 0.000163952   637: 0.000134834   660: 0.000140342   661: 0.000173594   662: 0.000160038\n",
      "Row 70:   49: 0.00397079   50: 0.00346481   69: 0.00412763   70: 0.0222549   71: 0.00306897   73: 0.003535   79: 0.00408768   363: -0.000194828   364: -5.0822e-21   365: -0.000202251   366: -1.11808e-19   367: -0.000794158   368: -0.00013236   371: -0.000692961   372: -0.000115494   373: -0.000151653   374: -5.0822e-21   471: -0.000825527   472: -0.000137588   473: -0.000210512   474: -1.15196e-19   477: -0.000613794   478: 0.000102299   479: -0.000707   480: 0.000117833   481: -0.000817537   482: 0.000136256   483: -0.000155244   484: -7.87741e-20   493: -0.000198256   494: -1.03338e-19   636: 0.000129885   637: 0.000134834   639: 0.000101102   660: 0.000140342   671: 0.000103496   677: 0.000132171\n",
      "Row 71:   50: 0.00305071   51: 0.00304982   52: 0.00301032   70: 0.00306897   71: 0.0152269   73: 0.00304712   369: -0.000153418   370: -3.38813e-21   371: -0.000151653   372: -8.30092e-20   373: -0.000610142   374: -0.00010169   375: -0.000151564   376: -5.0822e-21   377: -0.000609964   378: -0.000101661   381: -0.000602063   382: -0.000100344   383: -0.000149468   384: -5.0822e-21   477: -0.000613794   478: -0.000102299   479: -0.000155244   480: -8.47033e-20   483: -0.000609424   484: 0.000101571   638: 0.000102279   639: 0.000101102   640: 0.000101042   643: 9.96453e-05   671: 0.000103496\n",
      "Row 72:   53: 0.00410492   54: 0.00436379   72: 0.0264581   73: 0.0040351   74: 0.00463471   79: 0.00448941   85: 0.00483017   385: -0.000214047   386: -3.38813e-21   387: -0.000820985   388: -0.000136831   389: -0.000196445   390: -1.05032e-19   393: -0.000872758   394: -0.00014546   395: -0.000222332   396: -5.0822e-21   485: -0.000807019   486: 0.000134503   487: -0.000926943   488: 0.00015449   489: -0.000897882   490: 0.000149647   491: -0.000966033   492: 0.000161006   493: -0.000207064   494: 1.04185e-19   499: -0.00024114   500: -1.23667e-19   519: -0.000241877   520: 1.21973e-19   641: 0.000142698   644: 0.000130963   646: 0.000148221   674: 0.00016076   682: 0.000138043   683: 0.000161251\n",
      "Row 73:   52: 0.00337027   53: 0.00384004   70: 0.003535   71: 0.00304712   72: 0.0040351   73: 0.0218807   79: 0.0040532   379: -0.000187559   380: -5.0822e-21   381: -0.000149468   382: -8.13152e-20   383: -0.000674053   384: -0.000112342   387: -0.000196445   388: -6.77626e-21   389: -0.000768007   390: -0.000128001   477: -0.000155244   478: -3.38813e-21   479: -0.000707   480: -0.000117833   481: -0.000198256   482: -1.10114e-19   483: -0.000609424   484: -0.000101571   485: -0.000807019   486: -0.000134503   489: -0.000207064   490: -6.77626e-21   493: -0.000810641   494: 0.000135107   642: 0.000125039   643: 9.96453e-05   644: 0.000130963   671: 0.000103496   677: 0.000132171   682: 0.000138043\n",
      "Row 74:   54: 0.00453859   55: 0.00439104   72: 0.00463471   74: 0.0287038   75: 0.00447595   84: 0.00532617   85: 0.00533738   391: -0.000231528   392: -5.0822e-21   393: -0.000222332   394: -1.20279e-19   395: -0.000907719   396: -0.000151286   399: -0.000878208   400: -0.000146368   401: -0.000207576   402: -3.38813e-21   487: -0.000926943   488: -0.00015449   491: -0.00024114   492: -1.33831e-19   495: -0.00089519   496: 0.000149198   497: -0.00106523   498: 0.000177539   499: -0.00106748   500: 0.000177913   501: -0.000240019   502: -1.21973e-19   541: -0.000292598   542: -1.52466e-19   645: 0.000154352   646: 0.000148221   648: 0.000138384   672: 0.000160012   674: 0.00016076   681: 0.000195066\n",
      "Row 75:   55: 0.00451919   56: 0.00484619   58: 0.0049323   74: 0.00447595   75: 0.0237034   84: 0.00492973   397: -0.000244343   398: -1.69407e-21   399: -0.000207576   400: -1.13502e-19   401: -0.000903838   402: -0.00015064   403: -0.000240276   404: -5.0822e-21   405: -0.000969237   406: -0.00016154   415: -0.00098646   416: -0.00016441   417: -0.000252954   418: -1.01644e-20   495: -0.00089519   496: -0.000149198   497: -0.000240019   498: -1.32137e-19   501: -0.000985945   502: 0.000164324   647: 0.000162895   648: 0.000138384   653: 0.000160184   669: 0.000168636   672: 0.000160012\n",
      "Row 76:   34: 0.0048635   35: 0.00461852   57: 0.00476273   59: 0.00489808   76: 0.0291642   83: 0.00482049   86: 0.00520082   279: -0.000238315   280: -8.47033e-21   281: -0.000248035   282: -1.33831e-19   283: -0.000972701   284: -0.000162117   287: -0.000223537   288: -3.38813e-21   289: -0.000923705   290: -0.000153951   409: -0.000952546   410: -0.000158758   411: -0.000228238   412: -1.25361e-19   421: -0.000979617   422: -0.000163269   425: -0.000266271   426: -8.47033e-21   503: -0.000964097   504: 0.000160683   505: -0.00104016   506: 0.000173361   537: -0.000253811   538: 1.30443e-19   649: 0.000158877   650: 0.000149025   652: 0.000165357   667: 0.000152158   675: 0.000177514   676: 0.000169207\n",
      "Row 77:   59: 0.00480602   60: 0.00372965   61: 0.0035754   62: 0.00433141   63: 0.00367789   77: 0.0314277   78: 0.00543047   86: 0.0058769   419: -0.000193016   420: -5.0822e-21   423: -0.000961204   424: -0.000160201   425: -0.000287587   426: -1.5416e-19   427: -0.000179949   428: -3.38813e-21   429: -0.00074593   430: -0.000124322   431: -0.000177591   432: -3.38813e-21   433: -0.00071508   434: -0.00011918   435: -0.000190198   436: -1.03338e-19   439: -0.000866282   440: -0.00014438   441: -0.000242943   442: -5.0822e-21   443: -0.000735577   444: -0.000122596   507: -0.00108609   508: 0.000181016   509: -0.00117538   510: 0.000195897   513: -0.000300104   514: -1.57548e-19   655: 0.000119966   656: 0.000118394   657: 0.000128677   678: 0.000126799   679: 0.000191724   684: 0.000161962   685: 0.000200069\n",
      "Row 78:   62: 0.0046319   64: 0.00469027   77: 0.00543047   78: 0.0297146   82: 0.00475054   86: 0.00547486   88: 0.00473656   437: -0.000220247   438: -3.38813e-21   439: -0.000242943   440: -1.32137e-19   441: -0.000926381   442: -0.000154397   447: -0.000938054   448: -0.000156342   449: -0.00024878   450: -8.47033e-21   507: -0.00108609   508: -0.000181016   509: -0.000300104   510: -1.6263e-19   511: -0.000950107   512: 0.000158351   513: -0.00109497   514: 0.000182495   515: -0.000947312   516: 0.000157885   533: -0.000226274   534: -1.16891e-19   549: -0.000247382   550: 1.25361e-19   659: 0.000146832   666: 0.000165853   684: 0.000161962   685: 0.000200069   688: 0.000164921   694: 0.000150849\n",
      "Row 79:   69: 0.0045057   70: 0.00408768   72: 0.00448941   73: 0.0040532   79: 0.0270557   80: 0.00495074   85: 0.00496893   471: -0.000210512   472: -5.0822e-21   473: -0.000901139   474: -0.00015019   475: -0.000240057   476: -1.32137e-19   479: -0.000198256   480: -5.0822e-21   481: -0.000817537   482: -0.000136256   485: -0.000207064   486: -1.13502e-19   489: -0.000897882   490: -0.000149647   491: -0.000241877   492: -6.77626e-21   493: -0.000810641   494: -0.000135107   517: -0.000990147   518: 0.000165025   519: -0.000993786   520: 0.000165631   523: -0.000255016   524: 1.27055e-19   660: 0.000140342   662: 0.000160038   677: 0.000132171   682: 0.000138043   683: 0.000161251   686: 0.000170011\n",
      "Row 80:   67: 0.00530345   69: 0.00500449   79: 0.00495074   80: 0.0329814   81: 0.00584452   85: 0.00564167   87: 0.00623649   461: -0.000260392   462: -1.01644e-20   463: -0.00106069   464: -0.000176782   465: -0.000269953   466: -1.47384e-19   473: -0.000240057   474: -5.0822e-21   475: -0.0010009   476: -0.000166816   517: -0.000990147   518: -0.000165025   519: -0.000255016   520: -5.0822e-21   521: -0.0011689   522: 0.000194817   523: -0.00112833   524: 0.000188056   525: -0.0012473   526: 0.000207883   529: -0.000314499   530: 1.60936e-19   545: -0.00030915   546: -1.57548e-19   661: 0.000173594   662: 0.000160038   664: 0.000179969   686: 0.000170011   687: 0.0002061   689: 0.000209666\n",
      "Row 81:   67: 0.00580387   68: 0.00620056   80: 0.00584452   81: 0.0341521   82: 0.00543751   87: 0.00583467   88: 0.00503097   459: -0.000310434   460: -1.67713e-19   463: -0.000269953   464: -1.01644e-20   465: -0.00116077   466: -0.000193462   467: -0.00124011   468: -0.000206685   469: -0.000309622   470: -1.67713e-19   521: -0.0011689   522: -0.000194817   525: -0.000314499   526: -6.77626e-21   527: -0.0010875   528: 0.00018125   529: -0.00116693   530: 0.000194489   531: -0.00100619   532: 0.000167699   533: -0.00023413   534: 1.21973e-19   551: -0.000268968   552: -1.37219e-19   663: 0.000206956   664: 0.000179969   680: 0.000206414   689: 0.000209666   691: 0.000156087   695: 0.000179312\n",
      "Row 82:   64: 0.00489995   65: 0.00541239   68: 0.00609646   78: 0.00475054   81: 0.00543751   82: 0.0312009   88: 0.00460404   445: -0.000241215   446: -8.47033e-21   447: -0.00024878   448: -1.37219e-19   449: -0.00097999   450: -0.000163332   453: -0.000300024   454: -1.01644e-20   455: -0.00108248   456: -0.000180413   467: -0.000309622   468: -1.35525e-20   469: -0.00121929   470: -0.000203215   511: -0.000950107   512: -0.000158351   515: -0.000226274   516: -1.23667e-19   527: -0.0010875   528: -0.00018125   531: -0.00023413   532: -1.01644e-20   533: -0.000920807   534: 0.000153468   665: 0.00016081   666: 0.000165853   673: 0.000200016   680: 0.000206414   691: 0.000156087   694: 0.000150849\n",
      "Row 83:   57: 0.00489246   76: 0.00482049   83: 0.0268027   84: 0.00556303   86: 0.00555593   87: 0.00597076   409: -0.000228238   410: -3.38813e-21   411: -0.000978492   412: -0.000163082   413: -0.000261009   414: -1.40607e-19   503: -0.000964097   504: -0.000160683   505: -0.000253811   506: -6.77626e-21   535: -0.00111261   536: 0.000185434   537: -0.00111119   538: 0.000185198   539: -0.00119415   540: 0.000199025   543: -0.000295294   544: 1.5416e-19   547: -0.000301782   548: -1.5416e-19   667: 0.000152158   670: 0.000174006   676: 0.000169207   692: 0.000201188   693: 0.000196863\n",
      "Row 84:   57: 0.00562372   58: 0.00554318   74: 0.00532617   75: 0.00492973   83: 0.00556303   84: 0.0398095   85: 0.00639837   87: 0.00642533   407: -0.000301364   408: -1.64324e-19   411: -0.000261009   412: -8.47033e-21   413: -0.00112474   414: -0.000187457   415: -0.000252954   416: -1.38913e-19   417: -0.00110864   418: -0.000184773   495: -0.000240019   496: -8.47033e-21   497: -0.00106523   498: -0.000177539   499: -0.000292598   500: -1.60936e-19   501: -0.000985945   502: -0.000164324   535: -0.00111261   536: -0.000185434   539: -0.000295294   540: -6.77626e-21   541: -0.00127967   542: 0.000213279   543: -0.00128507   544: 0.000214178   545: -0.000347239   546: 1.77877e-19   668: 0.000200909   669: 0.000168636   670: 0.000174006   672: 0.000160012   681: 0.000195066   690: 0.000231493   693: 0.000196863\n",
      "Row 85:   72: 0.00483017   74: 0.00533738   79: 0.00496893   80: 0.00564167   84: 0.00639837   85: 0.0337404   87: 0.00656389   487: -0.00024114   488: -6.77626e-21   489: -0.000241877   490: -1.32137e-19   491: -0.000966033   492: -0.000161006   497: -0.000292598   498: -6.77626e-21   499: -0.00106748   500: -0.000177913   517: -0.000255016   518: -1.38913e-19   519: -0.000993786   520: -0.000165631   523: -0.00112833   524: -0.000188056   525: -0.00030915   526: -1.69407e-19   541: -0.00127967   542: -0.000213279   543: -0.000347239   544: -6.77626e-21   545: -0.00131278   546: 0.000218796   674: 0.00016076   681: 0.000195066   683: 0.000161251   686: 0.000170011   687: 0.0002061   690: 0.000231493\n",
      "Row 86:   59: 0.00553858   76: 0.00520082   77: 0.0058769   78: 0.00547486   83: 0.00555593   86: 0.038949   87: 0.00592295   88: 0.00537895   421: -0.000266271   422: -1.47384e-19   423: -0.000287587   424: -6.77626e-21   425: -0.00110772   426: -0.000184619   503: -0.000253811   504: -1.38913e-19   505: -0.00104016   506: -0.000173361   507: -0.000300104   508: -1.01644e-20   509: -0.00117538   510: -0.000195897   513: -0.00109497   514: -0.000182495   515: -0.000247382   516: -6.77626e-21   537: -0.00111119   538: -0.000185198   539: -0.000301782   540: -1.6263e-19   547: -0.00118459   548: 0.000197432   549: -0.00107579   550: 0.000179298   551: -0.000290513   552: 1.49078e-19   675: 0.000177514   676: 0.000169207   679: 0.000191724   685: 0.000200069   688: 0.000164921   692: 0.000201188   696: 0.000193675\n",
      "Row 87:   80: 0.00623649   81: 0.00583467   83: 0.00597076   84: 0.00642533   85: 0.00656389   86: 0.00592295   87: 0.0425489   88: 0.00559481   521: -0.000314499   522: -1.72795e-19   523: -0.00030915   524: -1.35525e-20   525: -0.0012473   526: -0.000207883   529: -0.00116693   530: -0.000194489   531: -0.000268968   532: -1.49078e-19   535: -0.000295294   536: -1.6263e-19   537: -0.000301782   538: -1.01644e-20   539: -0.00119415   540: -0.000199025   541: -0.000347239   542: -1.86347e-19   543: -0.00128507   544: -0.000214178   545: -0.00131278   546: -0.000218796   547: -0.00118459   548: -0.000197432   549: -0.000290513   550: -6.77626e-21   551: -0.00111896   552: 0.000186494   687: 0.0002061   689: 0.000209666   690: 0.000231493   692: 0.000201188   693: 0.000196863   695: 0.000179312   696: 0.000193675\n",
      "Row 88:   78: 0.00473656   81: 0.00503097   82: 0.00460404   86: 0.00537895   87: 0.00559481   88: 0.0253453   511: -0.000226274   512: -6.77626e-21   513: -0.000247382   514: -1.35525e-19   515: -0.000947312   516: -0.000157885   527: -0.00023413   528: -1.28749e-19   529: -0.000268968   530: -6.77626e-21   531: -0.00100619   532: -0.000167699   533: -0.000920807   534: -0.000153468   547: -0.000290513   548: -1.57548e-19   549: -0.00107579   550: -0.000179298   551: -0.00111896   552: -0.000186494   688: 0.000164921   691: 0.000156087   694: 0.000150849   695: 0.000179312   696: 0.000193675\n",
      "Row 89:   0: -0.000520833   4: -0.000520833   31: -0.000260417   89: 8.68056e-05   90: 4.23516e-22   91: 4.34028e-05   92: -6.2004e-06   111: 4.34028e-05   112: -6.2004e-06   553: -2.48016e-05\n",
      "Row 90:   0: 8.68056e-05   4: -8.68056e-05   31: -3.38813e-21   89: 4.23516e-22   90: 9.3006e-06   91: -6.2004e-06   92: 3.1002e-06   111: 6.2004e-06   112: -3.1002e-06   553: -1.27055e-21\n",
      "Row 91:   0: -0.000520833   4: -0.000260417   31: -0.000520833   89: 4.34028e-05   90: -6.2004e-06   91: 8.68056e-05   92: 1.94818e-20   111: 4.34028e-05   112: 6.2004e-06   553: -2.48016e-05\n",
      "Row 92:   0: 8.68056e-05   4: -1.40607e-19   31: -8.68056e-05   89: -6.2004e-06   90: 3.1002e-06   91: 1.94818e-20   92: 9.3006e-06   111: 6.2004e-06   112: 3.1002e-06   553: -1.11173e-20\n",
      "Row 93:   1: -0.000446214   10: -0.000446214   38: -0.000223107   93: 7.43691e-05   94: 1.69407e-20   97: 3.71845e-05   98: -5.31208e-06   147: 3.71845e-05   148: -5.31208e-06   565: -2.12483e-05\n",
      "Row 94:   1: 7.43691e-05   10: -7.43691e-05   38: -1.20279e-19   93: 1.69407e-20   94: 7.96812e-06   97: -5.31208e-06   98: 2.65604e-06   147: 5.31208e-06   148: -2.65604e-06   565: -9.74088e-21\n",
      "Row 95:   1: -0.000430774   11: -0.000430774   38: -0.000215387   95: 7.17957e-05   96: -4.23516e-22   97: 3.58979e-05   98: -5.12827e-06   151: 3.58979e-05   152: -5.12827e-06   567: -2.05131e-05\n",
      "Row 96:   1: 7.17957e-05   11: -7.17957e-05   38: -6.77626e-21   95: -4.23516e-22   96: 7.6924e-06   97: -5.12827e-06   98: 2.56413e-06   151: 5.12827e-06   152: -2.56413e-06   567: -8.47033e-22\n",
      "Row 97:   1: -0.000876989   10: -0.000223107   11: -0.000215387   38: -0.000876989   93: 3.71845e-05   94: -5.31208e-06   95: 3.58979e-05   96: -5.12827e-06   97: 0.000146165   98: 1.69407e-20   147: 3.71845e-05   148: 5.31208e-06   151: 3.58979e-05   152: 5.12827e-06   565: -2.12483e-05   567: -2.05131e-05\n",
      "Row 98:   1: 0.000146165   10: -8.47033e-21   11: -1.16891e-19   38: -0.000146165   93: -5.31208e-06   94: 2.65604e-06   95: -5.12827e-06   96: 2.56413e-06   97: 1.69407e-20   98: 1.56605e-05   147: 5.31208e-06   148: 2.65604e-06   151: 5.12827e-06   152: 2.56413e-06   565: -1.05879e-21   567: -9.21148e-21\n",
      "Row 99:   2: -0.000520833   17: -0.000520833   18: -0.000260417   99: 8.68056e-05   100: 1.94818e-20   101: 4.34028e-05   102: -6.2004e-06   185: 4.34028e-05   186: -6.2004e-06   580: -2.48016e-05\n",
      "Row 100:   2: 8.68056e-05   17: -8.68056e-05   18: -1.40607e-19   99: 1.94818e-20   100: 9.3006e-06   101: -6.2004e-06   102: 3.1002e-06   185: 6.2004e-06   186: -3.1002e-06   580: -1.13291e-20\n",
      "Row 101:   2: -0.000520833   17: -0.000260417   18: -0.000520833   99: 4.34028e-05   100: -6.2004e-06   101: 8.68056e-05   102: 4.23516e-22   185: 4.34028e-05   186: 6.2004e-06   580: -2.48016e-05\n",
      "Row 102:   2: 8.68056e-05   17: -3.38813e-21   18: -8.68056e-05   99: -6.2004e-06   100: 3.1002e-06   101: 4.23516e-22   102: 9.3006e-06   185: 6.2004e-06   186: 3.1002e-06   580: -1.27055e-21\n",
      "Row 103:   3: -0.000421283   24: -0.000421283   51: -0.000210642   103: 7.02139e-05   104: 1.69407e-20   107: 3.51069e-05   108: -5.01528e-06   227: 3.51069e-05   228: -5.01528e-06   592: -2.00611e-05\n",
      "Row 104:   3: 7.02139e-05   24: -7.02139e-05   51: -1.15196e-19   103: 1.69407e-20   104: 7.52292e-06   107: -5.01528e-06   108: 2.50764e-06   227: 5.01528e-06   228: -2.50764e-06   592: -8.89385e-21\n",
      "Row 105:   3: -0.000408752   25: -0.000408752   51: -0.000204376   105: 6.81254e-05   106: 0   107: 3.40627e-05   108: -4.8661e-06   231: 3.40627e-05   232: -4.8661e-06   594: -1.94644e-05\n",
      "Row 106:   3: 6.81254e-05   25: -6.81254e-05   51: -6.77626e-21   105: 0   106: 7.29915e-06   107: -4.8661e-06   108: 2.43305e-06   231: 4.8661e-06   232: -2.43305e-06   594: -8.47033e-22\n",
      "Row 107:   3: -0.000830036   24: -0.000210642   25: -0.000204376   51: -0.000830036   103: 3.51069e-05   104: -5.01528e-06   105: 3.40627e-05   106: -4.8661e-06   107: 0.000138339   108: 1.56701e-20   227: 3.51069e-05   228: 5.01528e-06   231: 3.40627e-05   232: 4.8661e-06   592: -2.00611e-05   594: -1.94644e-05\n",
      "Row 108:   3: 0.000138339   24: -5.0822e-21   25: -1.11808e-19   51: -0.000138339   103: -5.01528e-06   104: 2.50764e-06   105: -4.8661e-06   106: 2.43305e-06   107: 1.56701e-20   108: 1.48221e-05   227: 5.01528e-06   228: 2.50764e-06   231: 4.8661e-06   232: 2.43305e-06   592: -8.47033e-22   594: -8.99973e-21\n",
      "Row 109:   4: -0.000525757   5: -0.000525757   32: -0.000262878   109: 8.76261e-05   110: 4.23516e-22   113: 4.38131e-05   114: -6.25901e-06   117: 4.38131e-05   118: -6.25901e-06   554: -2.5036e-05\n",
      "Row 110:   4: 8.76261e-05   5: -8.76261e-05   32: -8.47033e-21   109: 4.23516e-22   110: 9.38851e-06   113: -6.25901e-06   114: 3.1295e-06   117: 6.25901e-06   118: -3.1295e-06   554: -8.47033e-22\n",
      "Row 111:   0: -0.000260417   4: -0.00124119   31: -0.00124119   32: -0.000360177   89: 4.34028e-05   90: 6.2004e-06   91: 4.34028e-05   92: 6.2004e-06   111: 0.000206865   112: 4.74338e-20   113: 6.00295e-05   114: -8.57565e-06   263: 6.00295e-05   264: -8.57565e-06   553: -2.48016e-05   606: -3.43026e-05\n",
      "Row 112:   0: -1.32137e-19   4: 0.000206865   31: -0.000206865   32: -1.96512e-19   89: -6.2004e-06   90: -3.1002e-06   91: 6.2004e-06   92: 3.1002e-06   111: 4.74338e-20   112: 2.21641e-05   113: -8.57565e-06   114: 4.28782e-06   263: 8.57565e-06   264: -4.28782e-06   553: -1.01644e-20   606: -1.52466e-20\n",
      "Row 113:   4: -0.00124611   5: -0.000262878   31: -0.000360177   32: -0.00124611   109: 4.38131e-05   110: -6.25901e-06   111: 6.00295e-05   112: -8.57565e-06   113: 0.000207685   114: 1.94818e-20   117: 4.38131e-05   118: 6.25901e-06   263: 6.00295e-05   264: 8.57565e-06   554: -2.5036e-05   606: -3.43026e-05\n",
      "Row 114:   4: 0.000207685   5: -1.43996e-19   31: -1.01644e-20   32: -0.000207685   109: -6.25901e-06   110: 3.1295e-06   111: -8.57565e-06   112: 4.28782e-06   113: 1.94818e-20   114: 2.2252e-05   117: 6.25901e-06   118: 3.1295e-06   263: 8.57565e-06   264: 4.28782e-06   554: -1.11173e-20   606: -2.11758e-21\n",
      "Row 115:   5: -0.000500933   6: -0.000500933   33: -0.000250466   115: 8.34888e-05   116: 8.47033e-22   119: 4.17444e-05   120: -5.96348e-06   123: 4.17444e-05   124: -5.96348e-06   555: -2.38539e-05\n",
      "Row 116:   5: 8.34888e-05   6: -8.34888e-05   33: -6.77626e-21   115: 8.47033e-22   116: 8.94523e-06   119: -5.96348e-06   120: 2.98174e-06   123: 5.96348e-06   124: -2.98174e-06   555: -1.27055e-21\n",
      "Row 117:   4: -0.000262878   5: -0.00108423   32: -0.00108423   33: -0.000279236   109: 4.38131e-05   110: 6.25901e-06   113: 4.38131e-05   114: 6.25901e-06   117: 0.000180705   118: 4.06576e-20   119: 4.65394e-05   120: -6.64848e-06   267: 4.65394e-05   268: -6.64848e-06   554: -2.5036e-05   556: -2.65939e-05\n",
      "Row 118:   4: -1.37219e-19   5: 0.000180705   32: -0.000180705   33: -1.52466e-19   109: -6.25901e-06   110: -3.1295e-06   113: 6.25901e-06   114: 3.1295e-06   117: 4.06576e-20   118: 1.93612e-05   119: -6.64848e-06   120: 3.32424e-06   267: 6.64848e-06   268: -3.32424e-06   554: -9.74088e-21   556: -1.21761e-20\n",
      "Row 119:   5: -0.00105941   6: -0.000250466   32: -0.000279236   33: -0.00105941   115: 4.17444e-05   116: -5.96348e-06   117: 4.65394e-05   118: -6.64848e-06   119: 0.000176568   120: 1.94818e-20   123: 4.17444e-05   124: 5.96348e-06   267: 4.65394e-05   268: 6.64848e-06   555: -2.38539e-05   556: -2.65939e-05\n",
      "Row 120:   5: 0.000176568   6: -1.35525e-19   32: -6.77626e-21   33: -0.000176568   115: -5.96348e-06   116: 2.98174e-06   117: -6.64848e-06   118: 3.32424e-06   119: 1.94818e-20   120: 1.89179e-05   123: 5.96348e-06   124: 2.98174e-06   267: 6.64848e-06   268: 3.32424e-06   555: -1.07997e-20   556: -1.69407e-21\n",
      "Row 121:   6: -0.000486403   7: -0.000486403   34: -0.000243202   121: 8.10672e-05   122: -4.23516e-22   125: 4.05336e-05   126: -5.79052e-06   129: 4.05336e-05   130: -5.79052e-06   557: -2.31621e-05\n",
      "Row 122:   6: 8.10672e-05   7: -8.10672e-05   34: -6.77626e-21   121: -4.23516e-22   122: 8.68577e-06   125: -5.79052e-06   126: 2.89526e-06   129: 5.79052e-06   130: -2.89526e-06   557: -1.05879e-21\n",
      "Row 123:   5: -0.000250466   6: -0.00100233   33: -0.00100233   34: -0.000250699   115: 4.17444e-05   116: 5.96348e-06   119: 4.17444e-05   120: 5.96348e-06   123: 0.000167055   124: 3.98105e-20   125: 4.17831e-05   126: -5.96902e-06   273: 4.17831e-05   274: -5.96902e-06   555: -2.38539e-05   558: -2.38761e-05\n",
      "Row 124:   5: -1.30443e-19   6: 0.000167055   33: -0.000167055   34: -1.37219e-19   115: -5.96348e-06   116: -2.98174e-06   119: 5.96348e-06   120: 2.98174e-06   123: 3.98105e-20   124: 1.78988e-05   125: -5.96902e-06   126: 2.98451e-06   273: 5.96902e-06   274: -2.98451e-06   555: -9.635e-21   558: -1.07997e-20\n",
      "Row 125:   6: -0.000987801   7: -0.000243202   33: -0.000250699   34: -0.000987801   121: 4.05336e-05   122: -5.79052e-06   123: 4.17831e-05   124: -5.96902e-06   125: 0.000164633   126: 1.82112e-20   129: 4.05336e-05   130: 5.79052e-06   273: 4.17831e-05   274: 5.96902e-06   557: -2.31621e-05   558: -2.38761e-05\n",
      "Row 126:   6: 0.000164633   7: -1.33831e-19   33: -5.0822e-21   34: -0.000164633   121: -5.79052e-06   122: 2.89526e-06   123: -5.96902e-06   124: 2.98451e-06   125: 1.82112e-20   126: 1.76393e-05   129: 5.79052e-06   130: 2.89526e-06   273: 5.96902e-06   274: 2.98451e-06   557: -1.0482e-20   558: -1.27055e-21\n",
      "Row 127:   7: -0.000462598   8: -0.000462598   35: -0.000231299   127: 7.70996e-05   128: -4.23516e-22   131: 3.85498e-05   132: -5.50711e-06   135: 3.85498e-05   136: -5.50711e-06   559: -2.20285e-05\n",
      "Row 128:   7: 7.70996e-05   8: -7.70996e-05   35: -3.38813e-21   127: -4.23516e-22   128: 8.26067e-06   131: -5.50711e-06   132: 2.75356e-06   135: 5.50711e-06   136: -2.75356e-06   559: -1.05879e-21\n",
      "Row 129:   6: -0.000243202   7: -0.000948441   34: -0.000948441   35: -0.000231019   121: 4.05336e-05   122: 5.79052e-06   125: 4.05336e-05   126: 5.79052e-06   129: 0.000158073   130: 3.72694e-20   131: 3.85031e-05   132: -5.50045e-06   279: 3.85031e-05   280: -5.50045e-06   557: -2.31621e-05   560: -2.20018e-05\n",
      "Row 130:   6: -1.23667e-19   7: 0.000158073   34: -0.000158073   35: -1.25361e-19   121: -5.79052e-06   122: -2.89526e-06   125: 5.79052e-06   126: 2.89526e-06   129: 3.72694e-20   130: 1.69364e-05   131: -5.50045e-06   132: 2.75022e-06   279: 5.50045e-06   280: -2.75022e-06   557: -9.52912e-21   560: -9.84676e-21\n",
      "Row 131:   7: -0.000924635   8: -0.000231299   34: -0.000231019   35: -0.000924635   127: 3.85498e-05   128: -5.50711e-06   129: 3.85031e-05   130: -5.50045e-06   131: 0.000154106   132: 1.82112e-20   135: 3.85498e-05   136: 5.50711e-06   279: 3.85031e-05   280: 5.50045e-06   559: -2.20285e-05   560: -2.20018e-05\n",
      "Row 132:   7: 0.000154106   8: -1.25361e-19   34: -6.77626e-21   35: -0.000154106   127: -5.50711e-06   128: 2.75356e-06   129: -5.50045e-06   130: 2.75022e-06   131: 1.82112e-20   132: 1.65113e-05   135: 5.50711e-06   136: 2.75356e-06   279: 5.50045e-06   280: 2.75022e-06   559: -9.95264e-21   560: -1.27055e-21\n",
      "Row 133:   8: -0.00041439   9: -0.00041439   36: -0.000207195   133: 6.9065e-05   134: 0   137: 3.45325e-05   138: -4.93321e-06   141: 3.45325e-05   142: -4.93321e-06   561: -1.97329e-05\n",
      "Row 134:   8: 6.9065e-05   9: -6.9065e-05   36: -3.38813e-21   133: 0   134: 7.39982e-06   137: -4.93321e-06   138: 2.46661e-06   141: 4.93321e-06   142: -2.46661e-06   561: -6.35275e-22\n",
      "Row 135:   7: -0.000231299   8: -0.00086322   35: -0.00086322   36: -0.000200311   127: 3.85498e-05   128: 5.50711e-06   131: 3.85498e-05   132: 5.50711e-06   135: 0.00014387   136: 3.47284e-20   137: 3.33852e-05   138: -4.76931e-06   285: 3.33852e-05   286: -4.76931e-06   559: -2.20285e-05   562: -1.90772e-05\n",
      "Row 136:   7: -1.18585e-19   8: 0.00014387   35: -0.00014387   36: -1.10114e-19   127: -5.50711e-06   128: -2.75356e-06   131: 5.50711e-06   132: 2.75356e-06   135: 3.47284e-20   136: 1.54146e-05   137: -4.76931e-06   138: 2.38466e-06   285: 4.76931e-06   286: -2.38466e-06   559: -8.89385e-21   562: -8.57621e-21\n",
      "Row 137:   8: -0.000815012   9: -0.000207195   35: -0.000200311   36: -0.000815012   133: 3.45325e-05   134: -4.93321e-06   135: 3.33852e-05   136: -4.76931e-06   137: 0.000135835   138: 1.56701e-20   141: 3.45325e-05   142: 4.93321e-06   285: 3.33852e-05   286: 4.76931e-06   561: -1.97329e-05   562: -1.90772e-05\n",
      "Row 138:   8: 0.000135835   9: -1.15196e-19   35: -6.77626e-21   36: -0.000135835   133: -4.93321e-06   134: 2.46661e-06   135: -4.76931e-06   136: 2.38466e-06   137: 1.56701e-20   138: 1.45538e-05   141: 4.93321e-06   142: 2.46661e-06   285: 4.76931e-06   286: 2.38466e-06   561: -8.99973e-21   562: -1.05879e-21\n",
      "Row 139:   9: -0.000404868   10: -0.000404868   37: -0.000202434   139: 6.74781e-05   140: 4.23516e-22   143: 3.3739e-05   144: -4.81986e-06   145: 3.3739e-05   146: -4.81986e-06   563: -1.92795e-05\n",
      "Row 140:   9: 6.74781e-05   10: -6.74781e-05   37: -5.0822e-21   139: 4.23516e-22   140: 7.22979e-06   143: -4.81986e-06   144: 2.40993e-06   145: 4.81986e-06   146: -2.40993e-06   563: -8.47033e-22\n",
      "Row 141:   8: -0.000207195   9: -0.000790058   36: -0.000790058   37: -0.000187834   133: 3.45325e-05   134: 4.93321e-06   137: 3.45325e-05   138: 4.93321e-06   141: 0.000131676   142: 3.13402e-20   143: 3.13057e-05   144: -4.47224e-06   291: 3.13057e-05   292: -4.47224e-06   561: -1.97329e-05   564: -1.7889e-05\n",
      "Row 142:   8: -1.05032e-19   9: 0.000131676   36: -0.000131676   37: -1.03338e-19   133: -4.93321e-06   134: -2.46661e-06   137: 4.93321e-06   138: 2.46661e-06   141: 3.13402e-20   142: 1.41082e-05   143: -4.47224e-06   144: 2.23612e-06   291: 4.47224e-06   292: -2.23612e-06   561: -8.04681e-21   564: -8.15269e-21\n",
      "Row 143:   9: -0.000780537   10: -0.000202434   36: -0.000187834   37: -0.000780537   139: 3.3739e-05   140: -4.81986e-06   141: 3.13057e-05   142: -4.47224e-06   143: 0.000130089   144: 1.65171e-20   145: 3.3739e-05   146: 4.81986e-06   291: 3.13057e-05   292: 4.47224e-06   563: -1.92795e-05   564: -1.7889e-05\n",
      "Row 144:   9: 0.000130089   10: -1.11808e-19   36: -5.0822e-21   37: -0.000130089   139: -4.81986e-06   140: 2.40993e-06   141: -4.47224e-06   142: 2.23612e-06   143: 1.65171e-20   144: 1.39382e-05   145: 4.81986e-06   146: 2.40993e-06   291: 4.47224e-06   292: 2.23612e-06   563: -8.68209e-21   564: -1.05879e-21\n",
      "Row 145:   9: -0.000202434   10: -0.000786987   37: -0.000786987   38: -0.000191059   139: 3.3739e-05   140: 4.81986e-06   143: 3.3739e-05   144: 4.81986e-06   145: 0.000131164   146: 3.04932e-20   147: 3.18432e-05   148: -4.54902e-06   297: 3.18432e-05   298: -4.54902e-06   563: -1.92795e-05   566: -1.81961e-05\n",
      "Row 146:   9: -1.02491e-19   10: 0.000131164   37: -0.000131164   38: -1.05032e-19   139: -4.81986e-06   140: -2.40993e-06   143: 4.81986e-06   144: 2.40993e-06   145: 3.04932e-20   146: 1.40533e-05   147: -4.54902e-06   148: 2.27451e-06   297: 4.54902e-06   298: -2.27451e-06   563: -7.94093e-21   566: -8.04681e-21\n",
      "Row 147:   1: -0.000223107   10: -0.000828333   37: -0.000191059   38: -0.000828333   93: 3.71845e-05   94: 5.31208e-06   97: 3.71845e-05   98: 5.31208e-06   145: 3.18432e-05   146: -4.54902e-06   147: 0.000138055   148: -1.90582e-20   297: 3.18432e-05   298: 4.54902e-06   565: -2.12483e-05   566: -1.81961e-05\n",
      "Row 148:   1: 1.13502e-19   10: 0.000138055   37: -6.77626e-21   38: -0.000138055   93: -5.31208e-06   94: -2.65604e-06   97: 5.31208e-06   98: 2.65604e-06   145: -4.54902e-06   146: 2.27451e-06   147: -1.90582e-20   148: 1.47917e-05   297: 4.54902e-06   298: 2.27451e-06   565: 8.68209e-21   566: -6.35275e-22\n",
      "Row 149:   11: -0.000378014   12: -0.000378014   39: -0.000189007   149: 6.30024e-05   150: 4.23516e-22   153: 3.15012e-05   154: -4.50017e-06   157: 3.15012e-05   158: -4.50017e-06   568: -1.80007e-05\n",
      "Row 150:   11: 6.30024e-05   12: -6.30024e-05   39: -3.38813e-21   149: 4.23516e-22   150: 6.75025e-06   153: -4.50017e-06   154: 2.25008e-06   157: 4.50017e-06   158: -2.25008e-06   568: -8.47033e-22\n",
      "Row 151:   1: -0.000215387   11: -0.000809867   38: -0.000809867   39: -0.000189546   95: 3.58979e-05   96: 5.12827e-06   97: 3.58979e-05   98: 5.12827e-06   151: 0.000134978   152: 3.04932e-20   153: 3.1591e-05   154: -4.51301e-06   303: 3.1591e-05   304: -4.51301e-06   567: -2.05131e-05   569: -1.8052e-05\n",
      "Row 152:   1: -1.10114e-19   11: 0.000134978   38: -0.000134978   39: -1.03338e-19   95: -5.12827e-06   96: -2.56413e-06   97: 5.12827e-06   98: 2.56413e-06   151: 3.04932e-20   152: 1.44619e-05   153: -4.51301e-06   154: 2.2565e-06   303: 4.51301e-06   304: -2.2565e-06   567: -8.47033e-21   569: -8.15269e-21\n",
      "Row 153:   11: -0.000757107   12: -0.000189007   38: -0.000189546   39: -0.000757107   149: 3.15012e-05   150: -4.50017e-06   151: 3.1591e-05   152: -4.51301e-06   153: 0.000126184   154: 1.43996e-20   157: 3.15012e-05   158: 4.50017e-06   303: 3.1591e-05   304: 4.51301e-06   568: -1.80007e-05   569: -1.8052e-05\n",
      "Row 154:   11: 0.000126184   12: -1.05032e-19   38: -5.0822e-21   39: -0.000126184   149: -4.50017e-06   150: 2.25008e-06   151: -4.51301e-06   152: 2.2565e-06   153: 1.43996e-20   154: 1.35198e-05   157: 4.50017e-06   158: 2.25008e-06   303: 4.51301e-06   304: 2.2565e-06   568: -8.04681e-21   569: -8.47033e-22\n",
      "Row 155:   12: -0.000376463   13: -0.000376463   40: -0.000188232   155: 6.27439e-05   156: 0   159: 3.1372e-05   160: -4.48171e-06   163: 3.1372e-05   164: -4.48171e-06   570: -1.79268e-05\n",
      "Row 156:   12: 6.27439e-05   13: -6.27439e-05   40: -5.0822e-21   155: 0   156: 6.72256e-06   159: -4.48171e-06   160: 2.24085e-06   163: 4.48171e-06   164: -2.24085e-06   570: -6.35275e-22\n",
      "Row 157:   11: -0.000189007   12: -0.000732096   39: -0.000732096   40: -0.000177041   149: 3.15012e-05   150: 4.50017e-06   153: 3.15012e-05   154: 4.50017e-06   157: 0.000122016   158: 2.83756e-20   159: 2.95068e-05   160: -4.21526e-06   307: 2.95068e-05   308: -4.21526e-06   568: -1.80007e-05   571: -1.6861e-05\n",
      "Row 158:   11: -9.82558e-20   12: 0.000122016   39: -0.000122016   40: -9.48677e-20   149: -4.50017e-06   150: -2.25008e-06   153: 4.50017e-06   154: 2.25008e-06   157: 2.83756e-20   158: 1.30731e-05   159: -4.21526e-06   160: 2.10763e-06   307: 4.21526e-06   308: -2.10763e-06   568: -7.19978e-21   571: -7.41154e-21\n",
      "Row 159:   12: -0.000730545   13: -0.000188232   39: -0.000177041   40: -0.000730545   155: 3.1372e-05   156: -4.48171e-06   157: 2.95068e-05   158: -4.21526e-06   159: 0.000121757   160: 1.48231e-20   163: 3.1372e-05   164: 4.48171e-06   307: 2.95068e-05   308: 4.21526e-06   570: -1.79268e-05   571: -1.6861e-05\n",
      "Row 160:   12: 0.000121757   13: -1.03338e-19   39: -5.0822e-21   40: -0.000121757   155: -4.48171e-06   156: 2.24085e-06   157: -4.21526e-06   158: 2.10763e-06   159: 1.48231e-20   160: 1.30454e-05   163: 4.48171e-06   164: 2.24085e-06   307: 4.21526e-06   308: 2.10763e-06   570: -8.04681e-21   571: -8.47033e-22\n",
      "Row 161:   13: -0.000421116   14: -0.000421116   41: -0.000210558   161: 7.0186e-05   162: 0   165: 3.5093e-05   166: -5.01329e-06   169: 3.5093e-05   170: -5.01329e-06   572: -2.00532e-05\n",
      "Row 162:   13: 7.0186e-05   14: -7.0186e-05   41: -5.0822e-21   161: 0   162: 7.51993e-06   165: -5.01329e-06   166: 2.50664e-06   169: 5.01329e-06   170: -2.50664e-06   572: -8.47033e-22\n",
      "Row 163:   12: -0.000188232   13: -0.000745723   40: -0.000745723   41: -0.00018463   155: 3.1372e-05   156: 4.48171e-06   159: 3.1372e-05   160: 4.48171e-06   163: 0.000124287   164: 2.87991e-20   165: 3.07716e-05   166: -4.39594e-06   313: 3.07716e-05   314: -4.39594e-06   570: -1.79268e-05   573: -1.75838e-05\n",
      "Row 164:   12: -9.74088e-20   13: 0.000124287   40: -0.000124287   41: -9.99499e-20   155: -4.48171e-06   156: -2.24085e-06   159: 4.48171e-06   160: 2.24085e-06   163: 2.87991e-20   164: 1.33165e-05   165: -4.39594e-06   166: 2.19797e-06   313: 4.39594e-06   314: -2.19797e-06   570: -7.41154e-21   573: -7.94093e-21\n",
      "Row 165:   13: -0.000790375   14: -0.000210558   40: -0.00018463   41: -0.000790375   161: 3.5093e-05   162: -5.01329e-06   163: 3.07716e-05   164: -4.39594e-06   165: 0.000131729   166: 1.60936e-20   169: 3.5093e-05   170: 5.01329e-06   313: 3.07716e-05   314: 4.39594e-06   572: -2.00532e-05   573: -1.75838e-05\n",
      "Row 166:   13: 0.000131729   14: -1.13502e-19   40: -5.0822e-21   41: -0.000131729   161: -5.01329e-06   162: 2.50664e-06   163: -4.39594e-06   164: 2.19797e-06   165: 1.60936e-20   166: 1.41138e-05   169: 5.01329e-06   170: 2.50664e-06   313: 4.39594e-06   314: 2.19797e-06   572: -9.1056e-21   573: -1.05879e-21\n",
      "Row 167:   14: -0.000449527   15: -0.000449527   42: -0.000224763   167: 7.49211e-05   168: 0   171: 3.74605e-05   172: -5.35151e-06   175: 3.74605e-05   176: -5.35151e-06   574: -2.1406e-05\n",
      "Row 168:   14: 7.49211e-05   15: -7.49211e-05   42: -8.47033e-21   167: 0   168: 8.02726e-06   171: -5.35151e-06   172: 2.67575e-06   175: 5.35151e-06   176: -2.67575e-06   574: -1.05879e-21\n",
      "Row 169:   13: -0.000210558   14: -0.0008475   41: -0.0008475   42: -0.000213192   161: 3.5093e-05   162: 5.01329e-06   165: 3.5093e-05   166: 5.01329e-06   169: 0.00014125   170: 3.13402e-20   171: 3.5532e-05   172: -5.076e-06   319: 3.5532e-05   320: -5.076e-06   572: -2.00532e-05   575: -2.0304e-05\n",
      "Row 170:   13: -1.07573e-19   14: 0.00014125   41: -0.00014125   42: -1.16891e-19   161: -5.01329e-06   162: -2.50664e-06   165: 5.01329e-06   166: 2.50664e-06   169: 3.13402e-20   170: 1.51339e-05   171: -5.076e-06   172: 2.538e-06   319: 5.076e-06   320: -2.538e-06   572: -8.47033e-21   575: -9.1056e-21\n",
      "Row 171:   14: -0.000875911   15: -0.000224763   41: -0.000213192   42: -0.000875911   167: 3.74605e-05   168: -5.35151e-06   169: 3.5532e-05   170: -5.076e-06   171: 0.000145985   172: 1.82112e-20   175: 3.74605e-05   176: 5.35151e-06   319: 3.5532e-05   320: 5.076e-06   574: -2.1406e-05   575: -2.0304e-05\n",
      "Row 172:   14: 0.000145985   15: -1.25361e-19   41: -5.0822e-21   42: -0.000145985   167: -5.35151e-06   168: 2.67575e-06   169: -5.076e-06   170: 2.538e-06   171: 1.82112e-20   172: 1.56413e-05   175: 5.35151e-06   176: 2.67575e-06   319: 5.076e-06   320: 2.538e-06   574: -9.52912e-21   575: -1.27055e-21\n",
      "Row 173:   15: -0.000457936   16: -0.000457936   43: -0.000228968   173: 7.63227e-05   174: -4.23516e-22   177: 3.81614e-05   178: -5.45162e-06   181: 3.81614e-05   182: -5.45162e-06   576: -2.18065e-05\n",
      "Row 174:   15: 7.63227e-05   16: -7.63227e-05   43: -5.0822e-21   173: -4.23516e-22   174: 8.17744e-06   177: -5.45162e-06   178: 2.72581e-06   181: 5.45162e-06   182: -2.72581e-06   576: -6.35275e-22\n",
      "Row 175:   14: -0.000224763   15: -0.000906725   42: -0.000906725   43: -0.000228599   167: 3.74605e-05   168: 5.35151e-06   171: 3.74605e-05   172: 5.35151e-06   175: 0.000151121   176: 3.38813e-20   177: 3.80999e-05   178: -5.44284e-06   325: 3.80999e-05   326: -5.44284e-06   574: -2.1406e-05   577: -2.17714e-05\n",
      "Row 176:   14: -1.15196e-19   15: 0.000151121   42: -0.000151121   43: -1.23667e-19   167: -5.35151e-06   168: -2.67575e-06   171: 5.35151e-06   172: 2.67575e-06   175: 3.38813e-20   176: 1.61915e-05   177: -5.44284e-06   178: 2.72142e-06   325: 5.44284e-06   326: -2.72142e-06   574: -8.57621e-21   577: -9.95264e-21\n",
      "Row 177:   15: -0.000915135   16: -0.000228968   42: -0.000228599   43: -0.000915135   173: 3.81614e-05   174: -5.45162e-06   175: 3.80999e-05   176: -5.44284e-06   177: 0.000152523   178: 1.65171e-20   181: 3.81614e-05   182: 5.45162e-06   325: 3.80999e-05   326: 5.44284e-06   576: -2.18065e-05   577: -2.17714e-05\n",
      "Row 178:   15: 0.000152523   16: -1.25361e-19   42: -6.77626e-21   43: -0.000152523   173: -5.45162e-06   174: 2.72581e-06   175: -5.44284e-06   176: 2.72142e-06   177: 1.65171e-20   178: 1.63417e-05   181: 5.45162e-06   182: 2.72581e-06   325: 5.44284e-06   326: 2.72142e-06   576: -9.74088e-21   577: -1.05879e-21\n",
      "Row 179:   16: -0.000437726   17: -0.000437726   44: -0.000218863   179: 7.29544e-05   180: -4.23516e-22   183: 3.64772e-05   184: -5.21103e-06   187: 3.64772e-05   188: -5.21103e-06   578: -2.08441e-05\n",
      "Row 180:   16: 7.29544e-05   17: -7.29544e-05   44: -5.0822e-21   179: -4.23516e-22   180: 7.81654e-06   183: -5.21103e-06   184: 2.60551e-06   187: 5.21103e-06   188: -2.60551e-06   578: -8.47033e-22\n",
      "Row 181:   15: -0.000228968   16: -0.000923014   43: -0.000923014   44: -0.000232539   173: 3.81614e-05   174: 5.45162e-06   177: 3.81614e-05   178: 5.45162e-06   181: 0.000153836   182: 3.47284e-20   183: 3.87565e-05   184: -5.53664e-06   331: 3.87565e-05   332: -5.53664e-06   576: -2.18065e-05   579: -2.21466e-05\n",
      "Row 182:   15: -1.16891e-19   16: 0.000153836   43: -0.000153836   44: -1.25361e-19   173: -5.45162e-06   174: -2.72581e-06   177: 5.45162e-06   178: 2.72581e-06   181: 3.47284e-20   182: 1.64824e-05   183: -5.53664e-06   184: 2.76832e-06   331: 5.53664e-06   332: -2.76832e-06   576: -8.78797e-21   579: -1.00585e-20\n",
      "Row 183:   16: -0.000902804   17: -0.000218863   43: -0.000232539   44: -0.000902804   179: 3.64772e-05   180: -5.21103e-06   181: 3.87565e-05   182: -5.53664e-06   183: 0.000150467   184: 1.69407e-20   187: 3.64772e-05   188: 5.21103e-06   331: 3.87565e-05   332: 5.53664e-06   578: -2.08441e-05   579: -2.21466e-05\n",
      "Row 184:   16: 0.000150467   17: -1.20279e-19   43: -3.38813e-21   44: -0.000150467   179: -5.21103e-06   180: 2.60551e-06   181: -5.53664e-06   182: 2.76832e-06   183: 1.69407e-20   184: 1.61215e-05   187: 5.21103e-06   188: 2.60551e-06   331: 5.53664e-06   332: 2.76832e-06   578: -9.31736e-21   579: -1.27055e-21\n",
      "Row 185:   2: -0.000260417   17: -0.00113248   18: -0.00113248   44: -0.000305822   99: 4.34028e-05   100: 6.2004e-06   101: 4.34028e-05   102: 6.2004e-06   185: 0.000188746   186: -2.11758e-20   187: 5.09704e-05   188: -7.28148e-06   191: 5.09704e-05   192: -7.28148e-06   580: -2.48016e-05   607: -2.91259e-05\n",
      "Row 186:   2: 1.32137e-19   17: 0.000188746   18: -0.000188746   44: -6.77626e-21   99: -6.2004e-06   100: -3.1002e-06   101: 6.2004e-06   102: 3.1002e-06   185: -2.11758e-20   186: 2.02228e-05   187: -7.28148e-06   188: 3.64074e-06   191: 7.28148e-06   192: -3.64074e-06   580: 1.03762e-20   607: -1.27055e-21\n",
      "Row 187:   16: -0.000218863   17: -0.00104937   18: -0.000305822   44: -0.00104937   179: 3.64772e-05   180: 5.21103e-06   183: 3.64772e-05   184: 5.21103e-06   185: 5.09704e-05   186: -7.28148e-06   187: 0.000174895   188: 4.06576e-20   191: 5.09704e-05   192: 7.28148e-06   578: -2.08441e-05   607: -2.91259e-05\n",
      "Row 188:   16: -1.10114e-19   17: 0.000174895   18: -1.67713e-19   44: -0.000174895   179: -5.21103e-06   180: -2.60551e-06   183: 5.21103e-06   184: 2.60551e-06   185: -7.28148e-06   186: 3.64074e-06   187: 4.06576e-20   188: 1.87388e-05   191: 7.28148e-06   192: 3.64074e-06   578: -8.57621e-21   607: -1.3129e-20\n",
      "Row 189:   18: -0.000418584   19: -0.000418584   45: -0.000209292   189: 6.97639e-05   190: 4.23516e-22   193: 3.4882e-05   194: -4.98314e-06   197: 3.4882e-05   198: -4.98314e-06   581: -1.99326e-05\n",
      "Row 190:   18: 6.97639e-05   19: -6.97639e-05   45: -5.0822e-21   189: 4.23516e-22   190: 7.47471e-06   193: -4.98314e-06   194: 2.49157e-06   197: 4.98314e-06   198: -2.49157e-06   581: -8.47033e-22\n",
      "Row 191:   17: -0.000305822   18: -0.0010948   44: -0.0010948   45: -0.000241579   185: 5.09704e-05   186: 7.28148e-06   187: 5.09704e-05   188: 7.28148e-06   191: 0.000182467   192: 4.15046e-20   193: 4.02632e-05   194: -5.75188e-06   337: 4.02632e-05   338: -5.75188e-06   607: -2.91259e-05   608: -2.30075e-05\n",
      "Row 192:   17: -1.59242e-19   18: 0.000182467   44: -0.000182467   45: -1.32137e-19   185: -7.28148e-06   186: -3.64074e-06   187: 7.28148e-06   188: 3.64074e-06   191: 4.15046e-20   192: 1.955e-05   193: -5.75188e-06   194: 2.87594e-06   337: 5.75188e-06   338: -2.87594e-06   607: -1.18585e-20   608: -1.06938e-20\n",
      "Row 193:   18: -0.000901742   19: -0.000209292   44: -0.000241579   45: -0.000901742   189: 3.4882e-05   190: -4.98314e-06   191: 4.02632e-05   192: -5.75188e-06   193: 0.00015029   194: 1.69407e-20   197: 3.4882e-05   198: 4.98314e-06   337: 4.02632e-05   338: 5.75188e-06   581: -1.99326e-05   608: -2.30075e-05\n",
      "Row 194:   18: 0.00015029   19: -1.13502e-19   44: -6.77626e-21   45: -0.00015029   189: -4.98314e-06   190: 2.49157e-06   191: -5.75188e-06   192: 2.87594e-06   193: 1.69407e-20   194: 1.61025e-05   197: 4.98314e-06   198: 2.49157e-06   337: 5.75188e-06   338: 2.87594e-06   581: -8.99973e-21   608: -1.27055e-21\n",
      "Row 195:   19: -0.000494372   20: -0.000494372   46: -0.000247186   195: 8.23953e-05   196: 0   199: 4.11977e-05   200: -5.88538e-06   203: 4.11977e-05   204: -5.88538e-06   582: -2.35415e-05\n",
      "Row 196:   19: 8.23953e-05   20: -8.23953e-05   46: -5.0822e-21   195: 0   196: 8.82807e-06   199: -5.88538e-06   200: 2.94269e-06   203: 5.88538e-06   204: -2.94269e-06   582: -1.05879e-21\n",
      "Row 197:   18: -0.000209292   19: -0.000816271   45: -0.000816271   46: -0.000198844   189: 3.4882e-05   190: 4.98314e-06   193: 3.4882e-05   194: 4.98314e-06   197: 0.000136045   198: 3.13402e-20   199: 3.31406e-05   200: -4.73437e-06   341: 3.31406e-05   342: -4.73437e-06   581: -1.99326e-05   583: -1.89375e-05\n",
      "Row 198:   18: -1.05879e-19   19: 0.000136045   45: -0.000136045   46: -1.0842e-19   189: -4.98314e-06   190: -2.49157e-06   193: 4.98314e-06   194: 2.49157e-06   197: 3.13402e-20   198: 1.45763e-05   199: -4.73437e-06   200: 2.36718e-06   341: 4.73437e-06   342: -2.36718e-06   581: -8.04681e-21   583: -8.68209e-21\n",
      "Row 199:   19: -0.000892059   20: -0.000247186   45: -0.000198844   46: -0.000892059   195: 4.11977e-05   196: -5.88538e-06   197: 3.31406e-05   198: -4.73437e-06   199: 0.000148677   200: 1.99053e-20   203: 4.11977e-05   204: 5.88538e-06   341: 3.31406e-05   342: 4.73437e-06   582: -2.35415e-05   583: -1.89375e-05\n",
      "Row 200:   19: 0.000148677   20: -1.35525e-19   45: -3.38813e-21   46: -0.000148677   195: -5.88538e-06   196: 2.94269e-06   197: -4.73437e-06   198: 2.36718e-06   199: 1.99053e-20   200: 1.59296e-05   203: 5.88538e-06   204: 2.94269e-06   341: 4.73437e-06   342: 2.36718e-06   582: -1.06938e-20   583: -1.05879e-21\n",
      "Row 201:   20: -0.000517436   21: -0.000517436   47: -0.000258718   201: 8.62394e-05   202: 0   205: 4.31197e-05   206: -6.15996e-06   209: 4.31197e-05   210: -6.15996e-06   584: -2.46398e-05\n",
      "Row 202:   20: 8.62394e-05   21: -8.62394e-05   47: -8.47033e-21   201: 0   202: 9.23993e-06   205: -6.15996e-06   206: 3.07998e-06   209: 6.15996e-06   210: -3.07998e-06   584: -8.47033e-22\n",
      "Row 203:   19: -0.000247186   20: -0.000990129   46: -0.000990129   47: -0.000247878   195: 4.11977e-05   196: 5.88538e-06   199: 4.11977e-05   200: 5.88538e-06   203: 0.000165021   204: 3.89635e-20   205: 4.13131e-05   206: -5.90186e-06   345: 4.13131e-05   346: -5.90186e-06   582: -2.35415e-05   585: -2.36075e-05\n",
      "Row 204:   19: -1.27055e-19   20: 0.000165021   46: -0.000165021   47: -1.35525e-19   195: -5.88538e-06   196: -2.94269e-06   199: 5.88538e-06   200: 2.94269e-06   203: 3.89635e-20   204: 1.76809e-05   205: -5.90186e-06   206: 2.95093e-06   345: 5.90186e-06   346: -2.95093e-06   582: -9.95264e-21   585: -1.06938e-20\n",
      "Row 205:   20: -0.00101319   21: -0.000258718   46: -0.000247878   47: -0.00101319   201: 4.31197e-05   202: -6.15996e-06   203: 4.13131e-05   204: -5.90186e-06   205: 0.000168865   206: 1.82112e-20   209: 4.31197e-05   210: 6.15996e-06   345: 4.13131e-05   346: 5.90186e-06   584: -2.46398e-05   585: -2.36075e-05\n",
      "Row 206:   20: 0.000168865   21: -1.42302e-19   46: -6.77626e-21   47: -0.000168865   201: -6.15996e-06   202: 3.07998e-06   203: -5.90186e-06   204: 2.95093e-06   205: 1.82112e-20   206: 1.80927e-05   209: 6.15996e-06   210: 3.07998e-06   345: 5.90186e-06   346: 2.95093e-06   584: -1.09055e-20   585: -1.05879e-21\n",
      "Row 207:   21: -0.000486112   22: -0.000486112   48: -0.000243056   207: 8.10187e-05   208: 0   211: 4.05094e-05   212: -5.78705e-06   215: 4.05094e-05   216: -5.78705e-06   586: -2.31482e-05\n",
      "Row 208:   21: 8.10187e-05   22: -8.10187e-05   48: -8.47033e-21   207: 0   208: 8.68058e-06   211: -5.78705e-06   212: 2.89353e-06   215: 5.78705e-06   216: -2.89353e-06   586: -1.05879e-21\n",
      "Row 209:   20: -0.000258718   21: -0.00101563   47: -0.00101563   48: -0.000249097   201: 4.31197e-05   202: 6.15996e-06   205: 4.31197e-05   206: 6.15996e-06   209: 0.000169272   210: 3.98105e-20   211: 4.15161e-05   212: -5.93088e-06   351: 4.15161e-05   352: -5.93088e-06   584: -2.46398e-05   587: -2.37235e-05\n",
      "Row 210:   20: -1.33831e-19   21: 0.000169272   47: -0.000169272   48: -1.37219e-19   201: -6.15996e-06   202: -3.07998e-06   205: 6.15996e-06   206: 3.07998e-06   209: 3.98105e-20   210: 1.81362e-05   211: -5.93088e-06   212: 2.96544e-06   351: 5.93088e-06   352: -2.96544e-06   584: -9.95264e-21   587: -1.10114e-20\n",
      "Row 211:   21: -0.000984306   22: -0.000243056   47: -0.000249097   48: -0.000984306   207: 4.05094e-05   208: -5.78705e-06   209: 4.15161e-05   210: -5.93088e-06   211: 0.000164051   212: 1.82112e-20   215: 4.05094e-05   216: 5.78705e-06   351: 4.15161e-05   352: 5.93088e-06   586: -2.31482e-05   587: -2.37235e-05\n",
      "Row 212:   21: 0.000164051   22: -1.28749e-19   47: -5.0822e-21   48: -0.000164051   207: -5.78705e-06   208: 2.89353e-06   209: -5.93088e-06   210: 2.96544e-06   211: 1.82112e-20   212: 1.75769e-05   215: 5.78705e-06   216: 2.89353e-06   351: 5.93088e-06   352: 2.96544e-06   586: -1.05879e-20   587: -1.27055e-21\n",
      "Row 213:   22: -0.000441862   23: -0.000441862   49: -0.000220931   213: 7.36436e-05   214: 0   217: 3.68218e-05   218: -5.26026e-06   221: 3.68218e-05   222: -5.26026e-06   588: -2.1041e-05\n",
      "Row 214:   22: 7.36436e-05   23: -7.36436e-05   49: -5.0822e-21   213: 0   214: 7.89039e-06   217: -5.26026e-06   218: 2.63013e-06   221: 5.26026e-06   222: -2.63013e-06   588: -1.05879e-21\n",
      "Row 215:   21: -0.000243056   22: -0.00092657   48: -0.00092657   49: -0.000220229   207: 4.05094e-05   208: 5.78705e-06   211: 4.05094e-05   212: 5.78705e-06   215: 0.000154428   216: 3.72694e-20   217: 3.67048e-05   218: -5.24355e-06   357: 3.67048e-05   358: -5.24355e-06   586: -2.31482e-05   589: -2.09742e-05\n",
      "Row 216:   21: -1.23667e-19   22: 0.000154428   48: -0.000154428   49: -1.21973e-19   207: -5.78705e-06   208: -2.89353e-06   211: 5.78705e-06   212: 2.89353e-06   215: 3.72694e-20   216: 1.65459e-05   217: -5.24355e-06   218: 2.62177e-06   357: 5.24355e-06   358: -2.62177e-06   586: -9.42324e-21   589: -9.52912e-21\n",
      "Row 217:   22: -0.00088232   23: -0.000220931   48: -0.000220229   49: -0.00088232   213: 3.68218e-05   214: -5.26026e-06   215: 3.67048e-05   216: -5.24355e-06   217: 0.000147053   218: 1.73642e-20   221: 3.68218e-05   222: 5.26026e-06   357: 3.67048e-05   358: 5.24355e-06   588: -2.1041e-05   589: -2.09742e-05\n",
      "Row 218:   22: 0.000147053   23: -1.20279e-19   48: -5.0822e-21   49: -0.000147053   213: -5.26026e-06   214: 2.63013e-06   215: -5.24355e-06   216: 2.62177e-06   217: 1.73642e-20   218: 1.57557e-05   221: 5.26026e-06   222: 2.63013e-06   357: 5.24355e-06   358: 2.62177e-06   588: -9.21148e-21   589: -1.27055e-21\n",
      "Row 219:   23: -0.000394748   24: -0.000394748   50: -0.000197374   219: 6.57914e-05   220: 0   223: 3.28957e-05   224: -4.69938e-06   225: 3.28957e-05   226: -4.69938e-06   590: -1.87975e-05\n",
      "Row 220:   23: 6.57914e-05   24: -6.57914e-05   50: -5.0822e-21   219: 0   220: 7.04908e-06   223: -4.69938e-06   224: 2.34969e-06   225: 4.69938e-06   226: -2.34969e-06   590: -8.47033e-22\n",
      "Row 221:   22: -0.000220931   23: -0.000817946   49: -0.000817946   50: -0.000188042   213: 3.68218e-05   214: 5.26026e-06   217: 3.68218e-05   218: 5.26026e-06   221: 0.000136324   222: 3.13402e-20   223: 3.13404e-05   224: -4.4772e-06   363: 3.13404e-05   364: -4.4772e-06   588: -2.1041e-05   591: -1.79088e-05\n",
      "Row 222:   22: -1.11808e-19   23: 0.000136324   49: -0.000136324   50: -1.01644e-19   213: -5.26026e-06   214: -2.63013e-06   217: 5.26026e-06   218: 2.63013e-06   221: 3.13402e-20   222: 1.46062e-05   223: -4.4772e-06   224: 2.2386e-06   363: 4.4772e-06   364: -2.2386e-06   588: -8.36445e-21   591: -8.25857e-21\n",
      "Row 223:   23: -0.000770833   24: -0.000197374   49: -0.000188042   50: -0.000770833   219: 3.28957e-05   220: -4.69938e-06   221: 3.13404e-05   222: -4.4772e-06   223: 0.000128472   224: 1.52466e-20   225: 3.28957e-05   226: 4.69938e-06   363: 3.13404e-05   364: 4.4772e-06   590: -1.87975e-05   591: -1.79088e-05\n",
      "Row 224:   23: 0.000128472   24: -1.06726e-19   49: -3.38813e-21   50: -0.000128472   219: -4.69938e-06   220: 2.34969e-06   221: -4.4772e-06   222: 2.2386e-06   223: 1.52466e-20   224: 1.37649e-05   225: 4.69938e-06   226: 2.34969e-06   363: 4.4772e-06   364: 2.2386e-06   590: -8.36445e-21   591: -8.47033e-22\n",
      "Row 225:   23: -0.000197374   24: -0.000765567   50: -0.000765567   51: -0.000185409   219: 3.28957e-05   220: 4.69938e-06   223: 3.28957e-05   224: 4.69938e-06   225: 0.000127595   226: 2.87991e-20   227: 3.09016e-05   228: -4.41451e-06   369: 3.09016e-05   370: -4.41451e-06   590: -1.87975e-05   593: -1.7658e-05\n",
      "Row 226:   23: -1.01644e-19   24: 0.000127595   50: -0.000127595   51: -1.01644e-19   219: -4.69938e-06   220: -2.34969e-06   223: 4.69938e-06   224: 2.34969e-06   225: 2.87991e-20   226: 1.36708e-05   227: -4.41451e-06   228: 2.20725e-06   369: 4.41451e-06   370: -2.20725e-06   590: -7.72918e-21   593: -8.15269e-21\n",
      "Row 227:   3: -0.000210642   24: -0.000792102   50: -0.000185409   51: -0.000792102   103: 3.51069e-05   104: 5.01528e-06   107: 3.51069e-05   108: 5.01528e-06   225: 3.09016e-05   226: -4.41451e-06   227: 0.000132017   228: -1.60936e-20   369: 3.09016e-05   370: 4.41451e-06   592: -2.00611e-05   593: -1.7658e-05\n",
      "Row 228:   3: 1.07573e-19   24: 0.000132017   50: -5.0822e-21   51: -0.000132017   103: -5.01528e-06   104: -2.50764e-06   107: 5.01528e-06   108: 2.50764e-06   225: -4.41451e-06   226: 2.20725e-06   227: -1.60936e-20   228: 1.41447e-05   369: 4.41451e-06   370: 2.20725e-06   592: 8.15269e-21   593: -1.05879e-21\n",
      "Row 229:   25: -0.000369469   26: -0.000369469   52: -0.000184735   229: 6.15782e-05   230: 0   233: 3.07891e-05   234: -4.39844e-06   237: 3.07891e-05   238: -4.39844e-06   595: -1.75938e-05\n",
      "Row 230:   25: 6.15782e-05   26: -6.15782e-05   52: -6.77626e-21   229: 0   230: 6.59766e-06   233: -4.39844e-06   234: 2.19922e-06   237: 4.39844e-06   238: -2.19922e-06   595: -8.47033e-22\n",
      "Row 231:   3: -0.000204376   25: -0.000773763   51: -0.000773763   52: -0.000182505   105: 3.40627e-05   106: 4.8661e-06   107: 3.40627e-05   108: 4.8661e-06   231: 0.000128961   232: 2.96462e-20   233: 3.04176e-05   234: -4.34537e-06   375: 3.04176e-05   376: -4.34537e-06   594: -1.94644e-05   596: -1.73815e-05\n",
      "Row 232:   3: -1.03338e-19   25: 0.000128961   51: -0.000128961   52: -9.99499e-20   105: -4.8661e-06   106: -2.43305e-06   107: 4.8661e-06   108: 2.43305e-06   231: 2.96462e-20   232: 1.38172e-05   233: -4.34537e-06   234: 2.17268e-06   375: 4.34537e-06   376: -2.17268e-06   594: -8.15269e-21   596: -7.94093e-21\n",
      "Row 233:   25: -0.00073448   26: -0.000184735   51: -0.000182505   52: -0.00073448   229: 3.07891e-05   230: -4.39844e-06   231: 3.04176e-05   232: -4.34537e-06   233: 0.000122413   234: 1.43996e-20   237: 3.07891e-05   238: 4.39844e-06   375: 3.04176e-05   376: 4.34537e-06   595: -1.75938e-05   596: -1.73815e-05\n",
      "Row 234:   25: 0.000122413   26: -9.99499e-20   51: -5.0822e-21   52: -0.000122413   229: -4.39844e-06   230: 2.19922e-06   231: -4.34537e-06   232: 2.17268e-06   233: 1.43996e-20   234: 1.31157e-05   237: 4.39844e-06   238: 2.19922e-06   375: 4.34537e-06   376: 2.17268e-06   595: -7.83505e-21   596: -8.47033e-22\n",
      "Row 235:   26: -0.000405498   27: -0.000405498   53: -0.000202749   235: 6.75829e-05   236: 4.23516e-22   239: 3.37915e-05   240: -4.82735e-06   243: 3.37915e-05   244: -4.82735e-06   597: -1.93094e-05\n",
      "Row 236:   26: 6.75829e-05   27: -6.75829e-05   53: -3.38813e-21   235: 4.23516e-22   236: 7.24103e-06   239: -4.82735e-06   240: 2.41368e-06   243: 4.82735e-06   244: -2.41368e-06   597: -8.47033e-22\n",
      "Row 237:   25: -0.000184735   26: -0.000725488   52: -0.000725488   53: -0.000178009   229: 3.07891e-05   230: 4.39844e-06   233: 3.07891e-05   234: 4.39844e-06   237: 0.000120915   238: 2.96462e-20   239: 2.96682e-05   240: -4.23832e-06   379: 2.96682e-05   380: -4.23832e-06   595: -1.75938e-05   598: -1.69533e-05\n",
      "Row 238:   25: -9.40207e-20   26: 0.000120915   52: -0.000120915   53: -9.74088e-20   229: -4.39844e-06   230: -2.19922e-06   233: 4.39844e-06   234: 2.19922e-06   237: 2.96462e-20   238: 1.29551e-05   239: -4.23832e-06   240: 2.11916e-06   379: 4.23832e-06   380: -2.11916e-06   595: -7.41154e-21   598: -7.94093e-21\n",
      "Row 239:   26: -0.000761516   27: -0.000202749   52: -0.000178009   53: -0.000761516   235: 3.37915e-05   236: -4.82735e-06   237: 2.96682e-05   238: -4.23832e-06   239: 0.000126919   240: 1.52466e-20   243: 3.37915e-05   244: 4.82735e-06   379: 2.96682e-05   380: 4.23832e-06   597: -1.93094e-05   598: -1.69533e-05\n",
      "Row 240:   26: 0.000126919   27: -1.11808e-19   52: -3.38813e-21   53: -0.000126919   235: -4.82735e-06   236: 2.41368e-06   237: -4.23832e-06   238: 2.11916e-06   239: 1.52466e-20   240: 1.35985e-05   243: 4.82735e-06   244: 2.41368e-06   379: 4.23832e-06   380: 2.11916e-06   597: -8.57621e-21   598: -1.05879e-21\n",
      "Row 241:   27: -0.000432391   28: -0.000432391   54: -0.000216196   241: 7.20652e-05   242: 0   245: 3.60326e-05   246: -5.14752e-06   249: 3.60326e-05   250: -5.14752e-06   599: -2.05901e-05\n",
      "Row 242:   27: 7.20652e-05   28: -7.20652e-05   54: -6.77626e-21   241: 0   242: 7.72128e-06   245: -5.14752e-06   246: 2.57376e-06   249: 5.14752e-06   250: -2.57376e-06   599: -6.35275e-22\n",
      "Row 243:   26: -0.000202749   27: -0.00081046   53: -0.00081046   54: -0.000202481   235: 3.37915e-05   236: 4.82735e-06   239: 3.37915e-05   240: 4.82735e-06   243: 0.000135077   244: 3.13402e-20   245: 3.37468e-05   246: -4.82098e-06   385: 3.37468e-05   386: -4.82098e-06   597: -1.93094e-05   600: -1.92839e-05\n",
      "Row 244:   26: -1.05879e-19   27: 0.000135077   53: -0.000135077   54: -1.11808e-19   235: -4.82735e-06   236: -2.41368e-06   239: 4.82735e-06   240: 2.41368e-06   243: 3.13402e-20   244: 1.44725e-05   245: -4.82098e-06   246: 2.41049e-06   385: 4.82098e-06   386: -2.41049e-06   597: -7.83505e-21   600: -8.89385e-21\n",
      "Row 245:   27: -0.000837353   28: -0.000216196   53: -0.000202481   54: -0.000837353   241: 3.60326e-05   242: -5.14752e-06   243: 3.37468e-05   244: -4.82098e-06   245: 0.000139559   246: 1.65171e-20   249: 3.60326e-05   250: 5.14752e-06   385: 3.37468e-05   386: 4.82098e-06   599: -2.05901e-05   600: -1.92839e-05\n",
      "Row 246:   27: 0.000139559   28: -1.18585e-19   53: -3.38813e-21   54: -0.000139559   241: -5.14752e-06   242: 2.57376e-06   243: -4.82098e-06   244: 2.41049e-06   245: 1.65171e-20   246: 1.49527e-05   249: 5.14752e-06   250: 2.57376e-06   385: 4.82098e-06   386: 2.41049e-06   599: -9.1056e-21   600: -1.05879e-21\n",
      "Row 247:   28: -0.000431898   29: -0.000431898   55: -0.000215949   247: 7.1983e-05   248: 0   251: 3.59915e-05   252: -5.14164e-06   255: 3.59915e-05   256: -5.14164e-06   601: -2.05666e-05\n",
      "Row 248:   28: 7.1983e-05   29: -7.1983e-05   55: -5.0822e-21   247: 0   248: 7.71246e-06   251: -5.14164e-06   252: 2.57082e-06   255: 5.14164e-06   256: -2.57082e-06   601: -6.35275e-22\n",
      "Row 249:   27: -0.000216196   28: -0.000869885   54: -0.000869885   55: -0.000218747   241: 3.60326e-05   242: 5.14752e-06   245: 3.60326e-05   246: 5.14752e-06   249: 0.000144981   250: 3.38813e-20   251: 3.64578e-05   252: -5.20826e-06   391: 3.64578e-05   392: -5.20826e-06   599: -2.05901e-05   602: -2.0833e-05\n",
      "Row 250:   27: -1.11808e-19   28: 0.000144981   54: -0.000144981   55: -1.18585e-19   241: -5.14752e-06   242: -2.57376e-06   245: 5.14752e-06   246: 2.57376e-06   249: 3.38813e-20   250: 1.55337e-05   251: -5.20826e-06   252: 2.60413e-06   391: 5.20826e-06   392: -2.60413e-06   599: -8.47033e-21   602: -9.74088e-21\n",
      "Row 251:   28: -0.000869392   29: -0.000215949   54: -0.000218747   55: -0.000869392   247: 3.59915e-05   248: -5.14164e-06   249: 3.64578e-05   250: -5.20826e-06   251: 0.000144899   252: 1.60936e-20   255: 3.59915e-05   256: 5.14164e-06   391: 3.64578e-05   392: 5.20826e-06   601: -2.05666e-05   602: -2.0833e-05\n",
      "Row 252:   28: 0.000144899   29: -1.18585e-19   54: -6.77626e-21   55: -0.000144899   247: -5.14164e-06   248: 2.57082e-06   249: -5.20826e-06   250: 2.60413e-06   251: 1.60936e-20   252: 1.55249e-05   255: 5.14164e-06   256: 2.57082e-06   391: 5.20826e-06   392: 2.60413e-06   601: -9.1056e-21   602: -1.27055e-21\n",
      "Row 253:   29: -0.000466661   30: -0.000466661   56: -0.000233331   253: 7.77769e-05   254: -4.23516e-22   257: 3.88884e-05   258: -5.55549e-06   261: 3.88884e-05   262: -5.55549e-06   603: -2.2222e-05\n",
      "Row 254:   29: 7.77769e-05   30: -7.77769e-05   56: -5.0822e-21   253: -4.23516e-22   254: 8.33324e-06   257: -5.55549e-06   258: 2.77775e-06   261: 5.55549e-06   262: -2.77775e-06   603: -1.05879e-21\n",
      "Row 255:   28: -0.000215949   29: -0.000978654   55: -0.000978654   56: -0.000273378   247: 3.59915e-05   248: 5.14164e-06   251: 3.59915e-05   252: 5.14164e-06   255: 0.000163109   256: 3.64224e-20   257: 4.55631e-05   258: -6.50901e-06   397: 4.55631e-05   398: -6.50901e-06   601: -2.05666e-05   604: -2.6036e-05\n",
      "Row 256:   28: -1.09267e-19   29: 0.000163109   55: -0.000163109   56: -1.4569e-19   247: -5.14164e-06   248: -2.57082e-06   251: 5.14164e-06   252: 2.57082e-06   255: 3.64224e-20   256: 1.7476e-05   257: -6.50901e-06   258: 3.2545e-06   397: 6.50901e-06   398: -3.2545e-06   601: -8.47033e-21   604: -1.18585e-20\n",
      "Row 257:   29: -0.00101342   30: -0.000233331   55: -0.000273378   56: -0.00101342   253: 3.88884e-05   254: -5.55549e-06   255: 4.55631e-05   256: -6.50901e-06   257: 0.000168903   258: 1.69407e-20   261: 3.88884e-05   262: 5.55549e-06   397: 4.55631e-05   398: 6.50901e-06   603: -2.2222e-05   604: -2.6036e-05\n",
      "Row 258:   29: 0.000168903   30: -1.25361e-19   55: -8.47033e-21   56: -0.000168903   253: -5.55549e-06   254: 2.77775e-06   255: -6.50901e-06   256: 3.2545e-06   257: 1.69407e-20   258: 1.80967e-05   261: 5.55549e-06   262: 2.77775e-06   397: 6.50901e-06   398: 3.2545e-06   603: -9.95264e-21   604: -1.27055e-21\n",
      "Row 259:   30: -0.000466661   31: -0.000466661   56: -0.000233331   259: 7.77769e-05   260: 4.23516e-22   261: 3.88884e-05   262: -5.55549e-06   265: 3.88884e-05   266: -5.55549e-06   605: -2.2222e-05\n",
      "Row 260:   30: 7.77769e-05   31: -7.77769e-05   56: -1.69407e-21   259: 4.23516e-22   260: 8.33324e-06   261: -5.55549e-06   262: 2.77775e-06   265: 5.55549e-06   266: -2.77775e-06   605: -8.47033e-22\n",
      "Row 261:   29: -0.000233331   30: -0.000933322   31: -0.000233331   56: -0.000933322   253: 3.88884e-05   254: 5.55549e-06   257: 3.88884e-05   258: 5.55549e-06   259: 3.88884e-05   260: -5.55549e-06   261: 0.000155554   262: 3.47284e-20   265: 3.88884e-05   266: 5.55549e-06   603: -2.2222e-05   605: -2.2222e-05\n",
      "Row 262:   29: -1.20279e-19   30: 0.000155554   31: -1.27055e-19   56: -0.000155554   253: -5.55549e-06   254: -2.77775e-06   257: 5.55549e-06   258: 2.77775e-06   259: -5.55549e-06   260: 2.77775e-06   261: 3.47284e-20   262: 1.66665e-05   265: 5.55549e-06   266: 2.77775e-06   603: -9.31736e-21   605: -9.84676e-21\n",
      "Row 263:   4: -0.000360177   31: -0.0015158   32: -0.0015158   56: -0.000397723   111: 6.00295e-05   112: 8.57565e-06   113: 6.00295e-05   114: 8.57565e-06   263: 0.000252633   264: -2.5411e-20   265: 6.62871e-05   266: -9.46959e-06   269: 6.62871e-05   270: -9.46959e-06   606: -3.43026e-05   609: -3.78784e-05\n",
      "Row 264:   4: 1.91429e-19   31: 0.000252633   32: -0.000252633   56: -1.01644e-20   111: -8.57565e-06   112: -4.28782e-06   113: 8.57565e-06   114: 4.28782e-06   263: -2.5411e-20   264: 2.70679e-05   265: -9.46959e-06   266: 4.7348e-06   269: 9.46959e-06   270: -4.7348e-06   606: 1.3976e-20   609: -1.27055e-21\n",
      "Row 265:   30: -0.000233331   31: -0.00126211   32: -0.000397723   56: -0.00126211   259: 3.88884e-05   260: 5.55549e-06   261: 3.88884e-05   262: 5.55549e-06   263: 6.62871e-05   264: -9.46959e-06   265: 0.000210351   266: 4.91279e-20   269: 6.62871e-05   270: 9.46959e-06   605: -2.2222e-05   609: -3.78784e-05\n",
      "Row 266:   30: -1.20279e-19   31: 0.000210351   32: -2.1684e-19   56: -0.000210351   259: -5.55549e-06   260: -2.77775e-06   261: 5.55549e-06   262: 2.77775e-06   263: -9.46959e-06   264: 4.7348e-06   265: 4.91279e-20   266: 2.25376e-05   269: 9.46959e-06   270: 4.7348e-06   605: -8.99973e-21   609: -1.67289e-20\n",
      "Row 267:   5: -0.000279236   32: -0.00111137   33: -0.00111137   58: -0.000276449   117: 4.65394e-05   118: 6.64848e-06   119: 4.65394e-05   120: 6.64848e-06   267: 0.000185228   268: -2.20229e-20   271: 4.60748e-05   272: -6.58211e-06   277: 4.60748e-05   278: -6.58211e-06   556: -2.65939e-05   611: -2.63284e-05\n",
      "Row 268:   5: 1.42302e-19   32: 0.000185228   33: -0.000185228   58: -8.47033e-21   117: -6.64848e-06   118: -3.32424e-06   119: 6.64848e-06   120: 3.32424e-06   267: -2.20229e-20   268: 1.98459e-05   271: -6.58211e-06   272: 3.29105e-06   277: 6.58211e-06   278: -3.29105e-06   556: 1.12232e-20   611: -1.27055e-21\n",
      "Row 269:   31: -0.000397723   32: -0.00139058   56: -0.00139058   58: -0.000297569   263: 6.62871e-05   264: 9.46959e-06   265: 6.62871e-05   266: 9.46959e-06   269: 0.000231764   270: 5.50571e-20   271: 4.95948e-05   272: -7.08497e-06   403: 4.95948e-05   404: -7.08497e-06   609: -3.78784e-05   654: -2.83399e-05\n",
      "Row 270:   31: -1.999e-19   32: 0.000231764   56: -0.000231764   58: -1.6263e-19   263: -9.46959e-06   264: -4.7348e-06   265: 9.46959e-06   266: 4.7348e-06   269: 5.50571e-20   270: 2.48319e-05   271: -7.08497e-06   272: 3.54249e-06   403: 7.08497e-06   404: -3.54249e-06   609: -1.56701e-20   654: -1.29173e-20\n",
      "Row 271:   32: -0.00114803   33: -0.000276449   56: -0.000297569   58: -0.00114803   267: 4.60748e-05   268: -6.58211e-06   269: 4.95948e-05   270: -7.08497e-06   271: 0.000191339   272: 2.20229e-20   277: 4.60748e-05   278: 6.58211e-06   403: 4.95948e-05   404: 7.08497e-06   611: -2.63284e-05   654: -2.83399e-05\n",
      "Row 272:   32: 0.000191339   33: -1.50772e-19   56: -6.77626e-21   58: -0.000191339   267: -6.58211e-06   268: 3.29105e-06   269: -7.08497e-06   270: 3.54249e-06   271: 2.20229e-20   272: 2.05006e-05   277: 6.58211e-06   278: 3.29105e-06   403: 7.08497e-06   404: 3.54249e-06   611: -1.17526e-20   654: -8.47033e-22\n",
      "Row 273:   6: -0.000250699   33: -0.00101114   34: -0.00101114   57: -0.000254871   123: 4.17831e-05   124: 5.96902e-06   125: 4.17831e-05   126: 5.96902e-06   273: 0.000168523   274: -1.86347e-20   275: 4.24785e-05   276: -6.06835e-06   281: 4.24785e-05   282: -6.06835e-06   558: -2.38761e-05   610: -2.42734e-05\n",
      "Row 274:   6: 1.28749e-19   33: 0.000168523   34: -0.000168523   57: -8.47033e-21   123: -5.96902e-06   124: -2.98451e-06   125: 5.96902e-06   126: 2.98451e-06   273: -1.86347e-20   274: 1.80561e-05   275: -6.06835e-06   276: 3.03418e-06   281: 6.06835e-06   282: -3.03418e-06   558: 9.95264e-21   610: -1.05879e-21\n",
      "Row 275:   33: -0.00101891   34: -0.000254871   57: -0.00101891   58: -0.000254586   273: 4.24785e-05   274: -6.06835e-06   275: 0.000169819   276: 1.90582e-20   277: 4.2431e-05   278: -6.06157e-06   281: 4.24785e-05   282: 6.06835e-06   407: 4.2431e-05   408: -6.06157e-06   610: -2.42734e-05   612: -2.42463e-05\n",
      "Row 276:   33: 0.000169819   34: -1.38913e-19   57: -0.000169819   58: -6.77626e-21   273: -6.06835e-06   274: 3.03418e-06   275: 1.90582e-20   276: 1.81949e-05   277: -6.06157e-06   278: 3.03078e-06   281: 6.06835e-06   282: 3.03418e-06   407: 6.06157e-06   408: -3.03078e-06   610: -1.07997e-20   612: -1.27055e-21\n",
      "Row 277:   32: -0.000276449   33: -0.00106207   57: -0.000254586   58: -0.00106207   267: 4.60748e-05   268: 6.58211e-06   271: 4.60748e-05   272: 6.58211e-06   275: 4.2431e-05   276: -6.06157e-06   277: 0.000177011   278: 4.31987e-20   407: 4.2431e-05   408: 6.06157e-06   611: -2.63284e-05   612: -2.42463e-05\n",
      "Row 278:   32: -1.42302e-19   33: 0.000177011   57: -1.40607e-19   58: -0.000177011   267: -6.58211e-06   268: -3.29105e-06   271: 6.58211e-06   272: 3.29105e-06   275: -6.06157e-06   276: 3.03078e-06   277: 4.31987e-20   278: 1.89655e-05   407: 6.06157e-06   408: 3.03078e-06   611: -1.07997e-20   612: -1.06938e-20\n",
      "Row 279:   7: -0.000231019   34: -0.000938668   35: -0.000938668   76: -0.000238315   129: 3.85031e-05   130: 5.50045e-06   131: 3.85031e-05   132: 5.50045e-06   279: 0.000156445   280: -1.73642e-20   283: 3.97192e-05   284: -5.67417e-06   289: 3.97192e-05   290: -5.67417e-06   560: -2.20018e-05   649: -2.26967e-05\n",
      "Row 280:   7: 1.18585e-19   34: 0.000156445   35: -0.000156445   76: -8.47033e-21   129: -5.50045e-06   130: -2.75022e-06   131: 5.50045e-06   132: 2.75022e-06   279: -1.73642e-20   280: 1.67619e-05   283: -5.67417e-06   284: 2.83709e-06   289: 5.67417e-06   290: -2.83709e-06   560: 9.31736e-21   649: -1.05879e-21\n",
      "Row 281:   33: -0.000254871   34: -0.00100581   57: -0.00100581   76: -0.000248035   273: 4.24785e-05   274: 6.06835e-06   275: 4.24785e-05   276: 6.06835e-06   281: 0.000167635   282: 3.64224e-20   283: 4.13392e-05   284: -5.9056e-06   409: 4.13392e-05   410: -5.9056e-06   610: -2.42734e-05   652: -2.36224e-05\n",
      "Row 282:   33: -1.32137e-19   34: 0.000167635   57: -0.000167635   76: -1.33831e-19   273: -6.06835e-06   274: -3.03418e-06   275: 6.06835e-06   276: 3.03418e-06   281: 3.64224e-20   282: 1.79609e-05   283: -5.9056e-06   284: 2.9528e-06   409: 5.9056e-06   410: -2.9528e-06   610: -9.31736e-21   652: -1.06938e-20\n",
      "Row 283:   34: -0.000972701   35: -0.000238315   57: -0.000248035   76: -0.000972701   279: 3.97192e-05   280: -5.67417e-06   281: 4.13392e-05   282: -5.9056e-06   283: 0.000162117   284: 1.73642e-20   289: 3.97192e-05   290: 5.67417e-06   409: 4.13392e-05   410: 5.9056e-06   649: -2.26967e-05   652: -2.36224e-05\n",
      "Row 284:   34: 0.000162117   35: -1.30443e-19   57: -6.77626e-21   76: -0.000162117   279: -5.67417e-06   280: 2.83709e-06   281: -5.9056e-06   282: 2.9528e-06   283: 1.73642e-20   284: 1.73697e-05   289: 5.67417e-06   290: 2.83709e-06   409: 5.9056e-06   410: 2.9528e-06   649: -1.02703e-20   652: -1.27055e-21\n",
      "Row 285:   8: -0.000200311   35: -0.00083746   36: -0.00083746   59: -0.000218419   135: 3.33852e-05   136: 4.76931e-06   137: 3.33852e-05   138: 4.76931e-06   285: 0.000139577   286: -1.65171e-20   287: 3.64032e-05   288: -5.20045e-06   293: 3.64032e-05   294: -5.20045e-06   562: -1.90772e-05   613: -2.08018e-05\n",
      "Row 286:   8: 1.04185e-19   35: 0.000139577   36: -0.000139577   59: -5.0822e-21   135: -4.76931e-06   136: -2.38466e-06   137: 4.76931e-06   138: 2.38466e-06   285: -1.65171e-20   286: 1.49546e-05   287: -5.20045e-06   288: 2.60023e-06   293: 5.20045e-06   294: -2.60023e-06   562: 7.83505e-21   613: -1.05879e-21\n",
      "Row 287:   35: -0.000883913   36: -0.000218419   59: -0.000883913   76: -0.000223537   285: 3.64032e-05   286: -5.20045e-06   287: 0.000147319   288: 1.69407e-20   289: 3.72562e-05   290: -5.32232e-06   293: 3.64032e-05   294: 5.20045e-06   421: 3.72562e-05   422: -5.32232e-06   613: -2.08018e-05   650: -2.12893e-05\n",
      "Row 288:   35: 0.000147319   36: -1.20279e-19   59: -0.000147319   76: -3.38813e-21   285: -5.20045e-06   286: 2.60023e-06   287: 1.69407e-20   288: 1.57842e-05   289: -5.32232e-06   290: 2.66116e-06   293: 5.20045e-06   294: 2.60023e-06   421: 5.32232e-06   422: -2.66116e-06   613: -9.42324e-21   650: -1.05879e-21\n",
      "Row 289:   34: -0.000238315   35: -0.000923705   59: -0.000223537   76: -0.000923705   279: 3.97192e-05   280: 5.67417e-06   283: 3.97192e-05   284: 5.67417e-06   287: 3.72562e-05   288: -5.32232e-06   289: 0.000153951   290: 3.81165e-20   421: 3.72562e-05   422: 5.32232e-06   649: -2.26967e-05   650: -2.12893e-05\n",
      "Row 290:   34: -1.21973e-19   35: 0.000153951   59: -1.21973e-19   76: -0.000153951   279: -5.67417e-06   280: -2.83709e-06   283: 5.67417e-06   284: 2.83709e-06   287: -5.32232e-06   288: 2.66116e-06   289: 3.81165e-20   290: 1.64947e-05   421: 5.32232e-06   422: 2.66116e-06   649: -9.1056e-21   650: -9.52912e-21\n",
      "Row 291:   9: -0.000187834   36: -0.000710633   37: -0.000710633   60: -0.000167482   141: 3.13057e-05   142: 4.47224e-06   143: 3.13057e-05   144: 4.47224e-06   291: 0.000118439   292: -1.48231e-20   295: 2.79137e-05   296: -3.98767e-06   299: 2.79137e-05   300: -3.98767e-06   564: -1.7889e-05   614: -1.59507e-05\n",
      "Row 292:   9: 9.57147e-20   36: 0.000118439   37: -0.000118439   60: -3.38813e-21   141: -4.47224e-06   142: -2.23612e-06   143: 4.47224e-06   144: 2.23612e-06   291: -1.48231e-20   292: 1.26899e-05   295: -3.98767e-06   296: 1.99384e-06   299: 3.98767e-06   300: -1.99384e-06   564: 7.30566e-21   614: -8.47033e-22\n",
      "Row 293:   35: -0.000218419   36: -0.000776182   59: -0.000776182   60: -0.000169672   285: 3.64032e-05   286: 5.20045e-06   287: 3.64032e-05   288: 5.20045e-06   293: 0.000129364   294: 2.96462e-20   295: 2.82787e-05   296: -4.03981e-06   419: 2.82787e-05   420: -4.03981e-06   613: -2.08018e-05   615: -1.61593e-05\n",
      "Row 294:   35: -1.11808e-19   36: 0.000129364   59: -0.000129364   60: -9.23266e-20   285: -5.20045e-06   286: -2.60023e-06   287: 5.20045e-06   288: 2.60023e-06   293: 2.96462e-20   294: 1.38604e-05   295: -4.03981e-06   296: 2.01991e-06   419: 4.03981e-06   420: -2.01991e-06   613: -8.47033e-21   615: -7.30566e-21\n",
      "Row 295:   36: -0.000674309   37: -0.000167482   59: -0.000169672   60: -0.000674309   291: 2.79137e-05   292: -3.98767e-06   293: 2.82787e-05   294: -4.03981e-06   295: 0.000112385   296: 1.27055e-20   299: 2.79137e-05   300: 3.98767e-06   419: 2.82787e-05   420: 4.03981e-06   614: -1.59507e-05   615: -1.61593e-05\n",
      "Row 296:   36: 0.000112385   37: -9.23266e-20   59: -5.0822e-21   60: -0.000112385   291: -3.98767e-06   292: 1.99384e-06   293: -4.03981e-06   294: 2.01991e-06   295: 1.27055e-20   296: 1.20412e-05   299: 3.98767e-06   300: 1.99384e-06   419: 4.03981e-06   420: 2.01991e-06   614: -6.98802e-21   615: -8.47033e-22\n",
      "Row 297:   10: -0.000191059   37: -0.000746505   38: -0.000746505   61: -0.000182193   145: 3.18432e-05   146: 4.54902e-06   147: 3.18432e-05   148: 4.54902e-06   297: 0.000124417   298: -1.65171e-20   301: 3.03656e-05   302: -4.33794e-06   305: 3.03656e-05   306: -4.33794e-06   566: -1.81961e-05   616: -1.73517e-05\n",
      "Row 298:   10: 9.65618e-20   37: 0.000124417   38: -0.000124417   61: -5.0822e-21   145: -4.54902e-06   146: -2.27451e-06   147: 4.54902e-06   148: 2.27451e-06   297: -1.65171e-20   298: 1.33304e-05   301: -4.33794e-06   302: 2.16897e-06   305: 4.33794e-06   306: -2.16897e-06   566: 7.41154e-21   616: -8.47033e-22\n",
      "Row 299:   36: -0.000167482   37: -0.000638391   60: -0.000638391   61: -0.000151713   291: 2.79137e-05   292: 3.98767e-06   295: 2.79137e-05   296: 3.98767e-06   299: 0.000106398   300: 2.58345e-20   301: 2.52855e-05   302: -3.61222e-06   427: 2.52855e-05   428: -3.61222e-06   614: -1.59507e-05   617: -1.44489e-05\n",
      "Row 300:   36: -8.80914e-20   37: 0.000106398   60: -0.000106398   61: -8.30092e-20   291: -3.98767e-06   292: -1.99384e-06   295: 3.98767e-06   296: 1.99384e-06   299: 2.58345e-20   300: 1.13998e-05   301: -3.61222e-06   302: 1.80611e-06   427: 3.61222e-06   428: -1.80611e-06   614: -6.24687e-21   617: -6.45863e-21\n",
      "Row 301:   37: -0.000667813   38: -0.000182193   60: -0.000151713   61: -0.000667813   297: 3.03656e-05   298: -4.33794e-06   299: 2.52855e-05   300: -3.61222e-06   301: 0.000111302   302: 1.48231e-20   305: 3.03656e-05   306: 4.33794e-06   427: 2.52855e-05   428: 3.61222e-06   616: -1.73517e-05   617: -1.44489e-05\n",
      "Row 302:   37: 0.000111302   38: -9.82558e-20   60: -3.38813e-21   61: -0.000111302   297: -4.33794e-06   298: 2.16897e-06   299: -3.61222e-06   300: 1.80611e-06   301: 1.48231e-20   302: 1.19252e-05   305: 4.33794e-06   306: 2.16897e-06   427: 3.61222e-06   428: 1.80611e-06   616: -7.94093e-21   617: -8.47033e-22\n",
      "Row 303:   11: -0.000189546   38: -0.000737738   39: -0.000737738   61: -0.000179323   151: 3.1591e-05   152: 4.51301e-06   153: 3.1591e-05   154: 4.51301e-06   303: 0.000122956   304: -1.56701e-20   305: 2.98871e-05   306: -4.26959e-06   309: 2.98871e-05   310: -4.26959e-06   569: -1.8052e-05   618: -1.70784e-05\n",
      "Row 304:   11: 9.82558e-20   38: 0.000122956   39: -0.000122956   61: -3.38813e-21   151: -4.51301e-06   152: -2.2565e-06   153: 4.51301e-06   154: 2.2565e-06   303: -1.56701e-20   304: 1.31739e-05   305: -4.26959e-06   306: 2.1348e-06   309: 4.26959e-06   310: -2.1348e-06   569: 7.30566e-21   618: -8.47033e-22\n",
      "Row 305:   37: -0.000182193   38: -0.000723032   39: -0.000179323   61: -0.000723032   297: 3.03656e-05   298: 4.33794e-06   301: 3.03656e-05   302: 4.33794e-06   303: 2.98871e-05   304: -4.26959e-06   305: 0.000120505   306: 2.79521e-20   309: 2.98871e-05   310: 4.26959e-06   616: -1.73517e-05   618: -1.70784e-05\n",
      "Row 306:   37: -9.14796e-20   38: 0.000120505   39: -9.82558e-20   61: -0.000120505   297: -4.33794e-06   298: -2.16897e-06   301: 4.33794e-06   302: 2.16897e-06   303: -4.26959e-06   304: 2.1348e-06   305: 2.79521e-20   306: 1.29113e-05   309: 4.26959e-06   310: 2.1348e-06   616: -7.19978e-21   618: -7.72918e-21\n",
      "Row 307:   12: -0.000177041   39: -0.000675316   40: -0.000675316   63: -0.000160617   157: 2.95068e-05   158: 4.21526e-06   159: 2.95068e-05   160: 4.21526e-06   307: 0.000112553   308: -1.43996e-20   311: 2.67695e-05   312: -3.82422e-06   317: 2.67695e-05   318: -3.82422e-06   571: -1.6861e-05   620: -1.52969e-05\n",
      "Row 308:   12: 9.06325e-20   39: 0.000112553   40: -0.000112553   63: -5.0822e-21   157: -4.21526e-06   158: -2.10763e-06   159: 4.21526e-06   160: 2.10763e-06   307: -1.43996e-20   308: 1.20592e-05   311: -3.82422e-06   312: 1.91211e-06   317: 3.82422e-06   318: -1.91211e-06   571: 6.98802e-21   620: -6.35275e-22\n",
      "Row 309:   38: -0.000179323   39: -0.000655255   61: -0.000655255   63: -0.000148305   303: 2.98871e-05   304: 4.26959e-06   305: 2.98871e-05   306: 4.26959e-06   309: 0.000109209   310: 2.49875e-20   311: 2.47175e-05   312: -3.53107e-06   431: 2.47175e-05   432: -3.53107e-06   618: -1.70784e-05   621: -1.41243e-05\n",
      "Row 310:   38: -9.23266e-20   39: 0.000109209   61: -0.000109209   63: -8.13152e-20   303: -4.26959e-06   304: -2.1348e-06   305: 4.26959e-06   306: 2.1348e-06   309: 2.49875e-20   310: 1.1701e-05   311: -3.53107e-06   312: 1.76553e-06   431: 3.53107e-06   432: -1.76553e-06   618: -7.0939e-21   621: -6.35275e-21\n",
      "Row 311:   39: -0.000617844   40: -0.000160617   61: -0.000148305   63: -0.000617844   307: 2.67695e-05   308: -3.82422e-06   309: 2.47175e-05   310: -3.53107e-06   311: 0.000102974   312: 1.18585e-20   317: 2.67695e-05   318: 3.82422e-06   431: 2.47175e-05   432: 3.53107e-06   620: -1.52969e-05   621: -1.41243e-05\n",
      "Row 312:   39: 0.000102974   40: -8.80914e-20   61: -5.0822e-21   63: -0.000102974   307: -3.82422e-06   308: 1.91211e-06   309: -3.53107e-06   310: 1.76553e-06   311: 1.18585e-20   312: 1.10329e-05   317: 3.82422e-06   318: 1.91211e-06   431: 3.53107e-06   432: 1.76553e-06   620: -6.98802e-21   621: -8.47033e-22\n",
      "Row 313:   13: -0.00018463   40: -0.000770408   41: -0.000770408   62: -0.000200575   163: 3.07716e-05   164: 4.39594e-06   165: 3.07716e-05   166: 4.39594e-06   313: 0.000128401   314: -1.3976e-20   315: 3.34291e-05   316: -4.77559e-06   321: 3.34291e-05   322: -4.77559e-06   573: -1.75838e-05   619: -1.91024e-05\n",
      "Row 314:   13: 9.57147e-20   40: 0.000128401   41: -0.000128401   62: -5.0822e-21   163: -4.39594e-06   164: -2.19797e-06   165: 4.39594e-06   166: 2.19797e-06   313: -1.3976e-20   314: 1.37573e-05   315: -4.77559e-06   316: 2.38779e-06   321: 4.77559e-06   322: -2.38779e-06   573: 7.19978e-21   619: -8.47033e-22\n",
      "Row 315:   40: -0.000722787   41: -0.000200575   62: -0.000722787   63: -0.000160819   313: 3.34291e-05   314: -4.77559e-06   315: 0.000120465   316: 1.56701e-20   317: 2.68032e-05   318: -3.82902e-06   321: 3.34291e-05   322: 4.77559e-06   435: 2.68032e-05   436: -3.82902e-06   619: -1.91024e-05   622: -1.53161e-05\n",
      "Row 316:   40: 0.000120465   41: -1.10114e-19   62: -0.000120465   63: -3.38813e-21   313: -4.77559e-06   314: 2.38779e-06   315: 1.56701e-20   316: 1.29069e-05   317: -3.82902e-06   318: 1.91451e-06   321: 4.77559e-06   322: 2.38779e-06   435: 3.82902e-06   436: -1.91451e-06   619: -8.68209e-21   622: -6.35275e-22\n",
      "Row 317:   39: -0.000160617   40: -0.000642872   62: -0.000160819   63: -0.000642872   307: 2.67695e-05   308: 3.82422e-06   311: 2.67695e-05   312: 3.82422e-06   315: 2.68032e-05   316: -3.82902e-06   317: 0.000107145   318: 2.5411e-20   435: 2.68032e-05   436: 3.82902e-06   620: -1.52969e-05   622: -1.53161e-05\n",
      "Row 318:   39: -8.21622e-20   40: 0.000107145   62: -8.80914e-20   63: -0.000107145   307: -3.82422e-06   308: -1.91211e-06   311: 3.82422e-06   312: 1.91211e-06   315: -3.82902e-06   316: 1.91451e-06   317: 2.5411e-20   318: 1.14799e-05   435: 3.82902e-06   436: 1.91451e-06   620: -6.35275e-21   622: -6.88214e-21\n",
      "Row 319:   14: -0.000213192   41: -0.000869803   42: -0.000869803   64: -0.000221709   169: 3.5532e-05   170: 5.076e-06   171: 3.5532e-05   172: 5.076e-06   319: 0.000144967   320: -1.48231e-20   323: 3.69515e-05   324: -5.27879e-06   327: 3.69515e-05   328: -5.27879e-06   575: -2.0304e-05   623: -2.11152e-05\n",
      "Row 320:   14: 1.09267e-19   41: 0.000144967   42: -0.000144967   64: -5.0822e-21   169: -5.076e-06   170: -2.538e-06   171: 5.076e-06   172: 2.538e-06   319: -1.48231e-20   320: 1.55322e-05   323: -5.27879e-06   324: 2.6394e-06   327: 5.27879e-06   328: -2.6394e-06   575: 8.25857e-21   623: -8.47033e-22\n",
      "Row 321:   40: -0.000200575   41: -0.000822814   62: -0.000822814   64: -0.000210833   313: 3.34291e-05   314: 4.77559e-06   315: 3.34291e-05   316: 4.77559e-06   321: 0.000137136   322: 3.04932e-20   323: 3.51388e-05   324: -5.01982e-06   437: 3.51388e-05   438: -5.01982e-06   619: -1.91024e-05   624: -2.00793e-05\n",
      "Row 322:   40: -1.03338e-19   41: 0.000137136   62: -0.000137136   64: -1.13502e-19   313: -4.77559e-06   314: -2.38779e-06   315: 4.77559e-06   316: 2.38779e-06   321: 3.04932e-20   322: 1.46931e-05   323: -5.01982e-06   324: 2.50991e-06   437: 5.01982e-06   438: -2.50991e-06   619: -7.83505e-21   624: -9.21148e-21\n",
      "Row 323:   41: -0.000865084   42: -0.000221709   62: -0.000210833   64: -0.000865084   319: 3.69515e-05   320: -5.27879e-06   321: 3.51388e-05   322: -5.01982e-06   323: 0.000144181   324: 1.56701e-20   327: 3.69515e-05   328: 5.27879e-06   437: 3.51388e-05   438: 5.01982e-06   623: -2.11152e-05   624: -2.00793e-05\n",
      "Row 324:   41: 0.000144181   42: -1.18585e-19   62: -5.0822e-21   64: -0.000144181   319: -5.27879e-06   320: 2.6394e-06   321: -5.01982e-06   322: 2.50991e-06   323: 1.56701e-20   324: 1.54479e-05   327: 5.27879e-06   328: 2.6394e-06   437: 5.01982e-06   438: 2.50991e-06   623: -9.635e-21   624: -1.05879e-21\n",
      "Row 325:   15: -0.000228599   42: -0.000936271   43: -0.000936271   65: -0.000239536   175: 3.80999e-05   176: 5.44284e-06   177: 3.80999e-05   178: 5.44284e-06   325: 0.000156045   326: -1.65171e-20   329: 3.99227e-05   330: -5.70324e-06   333: 3.99227e-05   334: -5.70324e-06   577: -2.17714e-05   625: -2.2813e-05\n",
      "Row 326:   15: 1.16891e-19   42: 0.000156045   43: -0.000156045   65: -6.77626e-21   175: -5.44284e-06   176: -2.72142e-06   177: 5.44284e-06   178: 2.72142e-06   325: -1.65171e-20   326: 1.67191e-05   329: -5.70324e-06   330: 2.85162e-06   333: 5.70324e-06   334: -2.85162e-06   577: 9.1056e-21   625: -1.05879e-21\n",
      "Row 327:   41: -0.000221709   42: -0.000921629   64: -0.000921629   65: -0.000239105   319: 3.69515e-05   320: 5.27879e-06   323: 3.69515e-05   324: 5.27879e-06   327: 0.000153605   328: 3.47284e-20   329: 3.98508e-05   330: -5.69298e-06   445: 3.98508e-05   446: -5.69298e-06   623: -2.11152e-05   626: -2.27719e-05\n",
      "Row 328:   41: -1.13502e-19   42: 0.000153605   64: -0.000153605   65: -1.30443e-19   319: -5.27879e-06   320: -2.6394e-06   323: 5.27879e-06   324: 2.6394e-06   327: 3.47284e-20   328: 1.64577e-05   329: -5.69298e-06   330: 2.84649e-06   445: 5.69298e-06   446: -2.84649e-06   623: -8.78797e-21   626: -1.03762e-20\n",
      "Row 329:   42: -0.000957282   43: -0.000239536   64: -0.000239105   65: -0.000957282   325: 3.99227e-05   326: -5.70324e-06   327: 3.98508e-05   328: -5.69298e-06   329: 0.000159547   330: 1.86347e-20   333: 3.99227e-05   334: 5.70324e-06   445: 3.98508e-05   446: 5.69298e-06   625: -2.2813e-05   626: -2.27719e-05\n",
      "Row 330:   42: 0.000159547   43: -1.32137e-19   64: -1.01644e-20   65: -0.000159547   325: -5.70324e-06   326: 2.85162e-06   327: -5.69298e-06   328: 2.84649e-06   329: 1.86347e-20   330: 1.70943e-05   333: 5.70324e-06   334: 2.85162e-06   445: 5.69298e-06   446: 2.84649e-06   625: -1.01644e-20   626: -1.27055e-21\n",
      "Row 331:   16: -0.000232539   43: -0.000949212   44: -0.000949212   66: -0.000242067   181: 3.87565e-05   182: 5.53664e-06   183: 3.87565e-05   184: 5.53664e-06   331: 0.000158202   332: -1.94818e-20   335: 4.03445e-05   336: -5.7635e-06   339: 4.03445e-05   340: -5.7635e-06   579: -2.21466e-05   627: -2.3054e-05\n",
      "Row 332:   16: 1.18585e-19   43: 0.000158202   44: -0.000158202   66: -5.0822e-21   181: -5.53664e-06   182: -2.76832e-06   183: 5.53664e-06   184: 2.76832e-06   331: -1.94818e-20   332: 1.69502e-05   335: -5.7635e-06   336: 2.88175e-06   339: 5.7635e-06   340: -2.88175e-06   579: 9.1056e-21   627: -8.47033e-22\n",
      "Row 333:   42: -0.000239536   43: -0.000963965   65: -0.000963965   66: -0.000242447   325: 3.99227e-05   326: 5.70324e-06   329: 3.99227e-05   330: 5.70324e-06   333: 0.000160661   334: 3.72694e-20   335: 4.04078e-05   336: -5.77254e-06   451: 4.04078e-05   452: -5.77254e-06   625: -2.2813e-05   628: -2.30902e-05\n",
      "Row 334:   42: -1.21973e-19   43: 0.000160661   65: -0.000160661   66: -1.32137e-19   325: -5.70324e-06   326: -2.85162e-06   329: 5.70324e-06   330: 2.85162e-06   333: 3.72694e-20   334: 1.72137e-05   335: -5.77254e-06   336: 2.88627e-06   451: 5.77254e-06   452: -2.88627e-06   625: -9.21148e-21   628: -1.03762e-20\n",
      "Row 335:   43: -0.000969028   44: -0.000242067   65: -0.000242447   66: -0.000969028   331: 4.03445e-05   332: -5.7635e-06   333: 4.04078e-05   334: -5.77254e-06   335: 0.000161505   336: 1.82112e-20   339: 4.03445e-05   340: 5.7635e-06   451: 4.04078e-05   452: 5.77254e-06   627: -2.3054e-05   628: -2.30902e-05\n",
      "Row 336:   43: 0.000161505   44: -1.32137e-19   65: -1.01644e-20   66: -0.000161505   331: -5.7635e-06   332: 2.88175e-06   333: -5.77254e-06   334: 2.88627e-06   335: 1.82112e-20   336: 1.73041e-05   339: 5.7635e-06   340: 2.88175e-06   451: 5.77254e-06   452: 2.88627e-06   627: -1.00585e-20   628: -1.27055e-21\n",
      "Row 337:   18: -0.000241579   44: -0.000900289   45: -0.000900289   66: -0.000208565   191: 4.02632e-05   192: 5.75188e-06   193: 4.02632e-05   194: 5.75188e-06   337: 0.000150048   338: -1.82112e-20   339: 3.47609e-05   340: -4.96584e-06   343: 3.47609e-05   344: -4.96584e-06   608: -2.30075e-05   629: -1.98634e-05\n",
      "Row 338:   18: 1.25361e-19   44: 0.000150048   45: -0.000150048   66: -6.77626e-21   191: -5.75188e-06   192: -2.87594e-06   193: 5.75188e-06   194: 2.87594e-06   337: -1.82112e-20   338: 1.60766e-05   339: -4.96584e-06   340: 2.48292e-06   343: 4.96584e-06   344: -2.48292e-06   608: 9.31736e-21   629: -1.05879e-21\n",
      "Row 339:   43: -0.000242067   44: -0.000901265   45: -0.000208565   66: -0.000901265   331: 4.03445e-05   332: 5.7635e-06   335: 4.03445e-05   336: 5.7635e-06   337: 3.47609e-05   338: -4.96584e-06   339: 0.000150211   340: 3.72694e-20   343: 3.47609e-05   344: 4.96584e-06   627: -2.3054e-05   629: -1.98634e-05\n",
      "Row 340:   43: -1.23667e-19   44: 0.000150211   45: -1.15196e-19   66: -0.000150211   331: -5.7635e-06   332: -2.88175e-06   335: 5.7635e-06   336: 2.88175e-06   337: -4.96584e-06   338: 2.48292e-06   339: 3.72694e-20   340: 1.6094e-05   343: 4.96584e-06   344: 2.48292e-06   627: -9.31736e-21   629: -8.99973e-21\n",
      "Row 341:   19: -0.000198844   45: -0.000817733   46: -0.000817733   66: -0.000210023   197: 3.31406e-05   198: 4.73437e-06   199: 3.31406e-05   200: 4.73437e-06   341: 0.000136289   342: -1.65171e-20   343: 3.50039e-05   344: -5.00055e-06   347: 3.50039e-05   348: -5.00055e-06   583: -1.89375e-05   633: -2.00022e-05\n",
      "Row 342:   19: 1.02491e-19   45: 0.000136289   46: -0.000136289   66: -3.38813e-21   197: -4.73437e-06   198: -2.36718e-06   199: 4.73437e-06   200: 2.36718e-06   341: -1.65171e-20   342: 1.46024e-05   343: -5.00055e-06   344: 2.50028e-06   347: 5.00055e-06   348: -2.50028e-06   583: 8.04681e-21   633: -8.47033e-22\n",
      "Row 343:   44: -0.000208565   45: -0.000837177   46: -0.000210023   66: -0.000837177   337: 3.47609e-05   338: 4.96584e-06   339: 3.47609e-05   340: 4.96584e-06   341: 3.50039e-05   342: -5.00055e-06   343: 0.000139529   344: 3.13402e-20   347: 3.50039e-05   348: 5.00055e-06   629: -1.98634e-05   633: -2.00022e-05\n",
      "Row 344:   44: -1.07573e-19   45: 0.000139529   46: -1.15196e-19   66: -0.000139529   337: -4.96584e-06   338: -2.48292e-06   339: 4.96584e-06   340: 2.48292e-06   341: -5.00055e-06   342: 2.50028e-06   343: 3.13402e-20   344: 1.49496e-05   347: 5.00055e-06   348: 2.50028e-06   629: -8.04681e-21   633: -8.99973e-21\n",
      "Row 345:   20: -0.000247878   46: -0.00108482   47: -0.00108482   68: -0.000294532   203: 4.13131e-05   204: 5.90186e-06   205: 4.13131e-05   206: 5.90186e-06   345: 0.000180804   346: -1.77877e-20   349: 4.90887e-05   350: -7.01268e-06   355: 4.90887e-05   356: -7.01268e-06   585: -2.36075e-05   631: -2.80507e-05\n",
      "Row 346:   20: 1.25361e-19   46: 0.000180804   47: -0.000180804   68: -6.77626e-21   203: -5.90186e-06   204: -2.95093e-06   205: 5.90186e-06   206: 2.95093e-06   345: -1.77877e-20   346: 1.93718e-05   349: -7.01268e-06   350: 3.50634e-06   355: 7.01268e-06   356: -3.50634e-06   585: 9.52912e-21   631: -1.27055e-21\n",
      "Row 347:   45: -0.000210023   46: -0.00100187   66: -0.00100187   68: -0.00029091   341: 3.50039e-05   342: 5.00055e-06   343: 3.50039e-05   344: 5.00055e-06   347: 0.000166978   348: 3.98105e-20   349: 4.8485e-05   350: -6.92644e-06   457: 4.8485e-05   458: -6.92644e-06   633: -2.00022e-05   651: -2.77057e-05\n",
      "Row 348:   45: -1.06726e-19   46: 0.000166978   66: -0.000166978   68: -1.59242e-19   341: -5.00055e-06   342: -2.50028e-06   343: 5.00055e-06   344: 2.50028e-06   347: 3.98105e-20   348: 1.78905e-05   349: -6.92644e-06   350: 3.46322e-06   457: 6.92644e-06   458: -3.46322e-06   633: -8.25857e-21   651: -1.28114e-20\n",
      "Row 349:   46: -0.00117089   47: -0.000294532   66: -0.00029091   68: -0.00117089   345: 4.90887e-05   346: -7.01268e-06   347: 4.8485e-05   348: -6.92644e-06   349: 0.000195148   350: 2.28699e-20   355: 4.90887e-05   356: 7.01268e-06   457: 4.8485e-05   458: 6.92644e-06   631: -2.80507e-05   651: -2.77057e-05\n",
      "Row 350:   46: 0.000195148   47: -1.6263e-19   66: -1.01644e-20   68: -0.000195148   345: -7.01268e-06   346: 3.50634e-06   347: -6.92644e-06   348: 3.46322e-06   349: 2.28699e-20   350: 2.09087e-05   355: 7.01268e-06   356: 3.50634e-06   457: 6.92644e-06   458: 3.46322e-06   631: -1.29173e-20   651: -1.27055e-21\n",
      "Row 351:   21: -0.000249097   47: -0.0010156   48: -0.0010156   67: -0.000258701   209: 4.15161e-05   210: 5.93088e-06   211: 4.15161e-05   212: 5.93088e-06   351: 0.000169266   352: -2.07523e-20   353: 4.31169e-05   354: -6.15956e-06   359: 4.31169e-05   360: -6.15956e-06   587: -2.37235e-05   630: -2.46382e-05\n",
      "Row 352:   21: 1.25361e-19   47: 0.000169266   48: -0.000169266   67: -8.47033e-21   209: -5.93088e-06   210: -2.96544e-06   211: 5.93088e-06   212: 2.96544e-06   351: -2.07523e-20   352: 1.81356e-05   353: -6.15956e-06   354: 3.07978e-06   359: 6.15956e-06   360: -3.07978e-06   587: 9.84676e-21   630: -1.27055e-21\n",
      "Row 353:   47: -0.00113836   48: -0.000258701   67: -0.00113836   68: -0.000310478   351: 4.31169e-05   352: -6.15956e-06   353: 0.000189726   354: 1.94818e-20   355: 5.17463e-05   356: -7.39233e-06   359: 4.31169e-05   360: 6.15956e-06   459: 5.17463e-05   460: -7.39233e-06   630: -2.46382e-05   632: -2.95693e-05\n",
      "Row 354:   47: 0.000189726   48: -1.42302e-19   67: -0.000189726   68: -3.38813e-21   351: -6.15956e-06   352: 3.07978e-06   353: 1.94818e-20   354: 2.03278e-05   355: -7.39233e-06   356: 3.69617e-06   359: 6.15956e-06   360: 3.07978e-06   459: 7.39233e-06   460: -3.69617e-06   630: -1.11173e-20   632: -1.27055e-21\n",
      "Row 355:   46: -0.000294532   47: -0.00121002   67: -0.000310478   68: -0.00121002   345: 4.90887e-05   346: 7.01268e-06   349: 4.90887e-05   350: 7.01268e-06   353: 5.17463e-05   354: -7.39233e-06   355: 0.00020167   356: 4.74338e-20   459: 5.17463e-05   460: 7.39233e-06   631: -2.80507e-05   632: -2.95693e-05\n",
      "Row 356:   46: -1.49078e-19   47: 0.00020167   67: -1.67713e-19   68: -0.00020167   345: -7.01268e-06   346: -3.50634e-06   349: 7.01268e-06   350: 3.50634e-06   353: -7.39233e-06   354: 3.69617e-06   355: 4.74338e-20   356: 2.16075e-05   459: 7.39233e-06   460: 3.69617e-06   631: -1.16467e-20   632: -1.29173e-20\n",
      "Row 357:   22: -0.000220229   48: -0.000899518   49: -0.000899518   69: -0.00022953   215: 3.67048e-05   216: 5.24355e-06   217: 3.67048e-05   218: 5.24355e-06   357: 0.00014992   358: -1.69407e-20   361: 3.8255e-05   362: -5.465e-06   365: 3.8255e-05   366: -5.465e-06   589: -2.09742e-05   634: -2.186e-05\n",
      "Row 358:   22: 1.13502e-19   48: 0.00014992   49: -0.00014992   69: -3.38813e-21   215: -5.24355e-06   216: -2.62177e-06   217: 5.24355e-06   218: 2.62177e-06   357: -1.69407e-20   358: 1.60628e-05   361: -5.465e-06   362: 2.7325e-06   365: 5.465e-06   366: -2.7325e-06   589: 8.89385e-21   634: -1.05879e-21\n",
      "Row 359:   47: -0.000258701   48: -0.00100926   67: -0.00100926   69: -0.000245929   351: 4.31169e-05   352: 6.15956e-06   353: 4.31169e-05   354: 6.15956e-06   359: 0.00016821   360: 3.72694e-20   361: 4.09881e-05   362: -5.85544e-06   461: 4.09881e-05   462: -5.85544e-06   630: -2.46382e-05   635: -2.34218e-05\n",
      "Row 360:   47: -1.32137e-19   48: 0.00016821   67: -0.00016821   69: -1.33831e-19   351: -6.15956e-06   352: -3.07978e-06   353: 6.15956e-06   354: 3.07978e-06   359: 3.72694e-20   360: 1.80225e-05   361: -5.85544e-06   362: 2.92772e-06   461: 5.85544e-06   462: -2.92772e-06   630: -1.01644e-20   635: -1.09055e-20\n",
      "Row 361:   48: -0.000950917   49: -0.00022953   67: -0.000245929   69: -0.000950917   357: 3.8255e-05   358: -5.465e-06   359: 4.09881e-05   360: -5.85544e-06   361: 0.000158486   362: 1.82112e-20   365: 3.8255e-05   366: 5.465e-06   461: 4.09881e-05   462: 5.85544e-06   634: -2.186e-05   635: -2.34218e-05\n",
      "Row 362:   48: 0.000158486   49: -1.25361e-19   67: -3.38813e-21   69: -0.000158486   357: -5.465e-06   358: 2.7325e-06   359: -5.85544e-06   360: 2.92772e-06   361: 1.82112e-20   362: 1.69807e-05   365: 5.465e-06   366: 2.7325e-06   461: 5.85544e-06   462: 2.92772e-06   634: -9.95264e-21   635: -1.27055e-21\n",
      "Row 363:   23: -0.000188042   49: -0.00076574   50: -0.00076574   70: -0.000194828   221: 3.13404e-05   222: 4.4772e-06   223: 3.13404e-05   224: 4.4772e-06   363: 0.000127623   364: -1.48231e-20   367: 3.24713e-05   368: -4.63876e-06   371: 3.24713e-05   372: -4.63876e-06   591: -1.79088e-05   636: -1.8555e-05\n",
      "Row 364:   23: 9.74088e-20   49: 0.000127623   50: -0.000127623   70: -5.0822e-21   221: -4.4772e-06   222: -2.2386e-06   223: 4.4772e-06   224: 2.2386e-06   363: -1.48231e-20   364: 1.36739e-05   367: -4.63876e-06   368: 2.31938e-06   371: 4.63876e-06   372: -2.31938e-06   591: 7.0939e-21   636: -8.47033e-22\n",
      "Row 365:   48: -0.00022953   49: -0.000863563   69: -0.000863563   70: -0.000202251   357: 3.8255e-05   358: 5.465e-06   361: 3.8255e-05   362: 5.465e-06   365: 0.000143927   366: 3.30343e-20   367: 3.37085e-05   368: -4.8155e-06   471: 3.37085e-05   472: -4.8155e-06   634: -2.186e-05   637: -1.9262e-05\n",
      "Row 366:   48: -1.16891e-19   49: 0.000143927   69: -0.000143927   70: -1.11808e-19   357: -5.465e-06   358: -2.7325e-06   361: 5.465e-06   362: 2.7325e-06   365: 3.30343e-20   366: 1.54208e-05   367: -4.8155e-06   368: 2.40775e-06   471: 4.8155e-06   472: -2.40775e-06   634: -9.31736e-21   637: -8.78797e-21\n",
      "Row 367:   49: -0.000794158   50: -0.000194828   69: -0.000202251   70: -0.000794158   363: 3.24713e-05   364: -4.63876e-06   365: 3.37085e-05   366: -4.8155e-06   367: 0.00013236   368: 1.43996e-20   371: 3.24713e-05   372: 4.63876e-06   471: 3.37085e-05   472: 4.8155e-06   636: -1.8555e-05   637: -1.9262e-05\n",
      "Row 368:   49: 0.00013236   50: -1.06726e-19   69: -5.0822e-21   70: -0.00013236   363: -4.63876e-06   364: 2.31938e-06   365: -4.8155e-06   366: 2.40775e-06   367: 1.43996e-20   368: 1.41814e-05   371: 4.63876e-06   372: 2.31938e-06   471: 4.8155e-06   472: 2.40775e-06   636: -8.36445e-21   637: -1.05879e-21\n",
      "Row 369:   24: -0.000185409   50: -0.000677656   51: -0.000677656   71: -0.000153418   225: 3.09016e-05   226: 4.41451e-06   227: 3.09016e-05   228: 4.41451e-06   369: 0.000112943   370: -1.60936e-20   373: 2.55697e-05   374: -3.65282e-06   377: 2.55697e-05   378: -3.65282e-06   593: -1.7658e-05   638: -1.46113e-05\n",
      "Row 370:   24: 9.40207e-20   50: 0.000112943   51: -0.000112943   71: -3.38813e-21   225: -4.41451e-06   226: -2.20725e-06   227: 4.41451e-06   228: 2.20725e-06   369: -1.60936e-20   370: 1.2101e-05   373: -3.65282e-06   374: 1.82641e-06   377: 3.65282e-06   378: -1.82641e-06   593: 7.41154e-21   638: -4.23516e-22\n",
      "Row 371:   49: -0.000194828   50: -0.000692961   70: -0.000692961   71: -0.000151653   363: 3.24713e-05   364: 4.63876e-06   367: 3.24713e-05   368: 4.63876e-06   371: 0.000115494   372: 2.75286e-20   373: 2.52755e-05   374: -3.61078e-06   477: 2.52755e-05   478: -3.61078e-06   636: -1.8555e-05   639: -1.44431e-05\n",
      "Row 372:   49: -9.99499e-20   50: 0.000115494   70: -0.000115494   71: -8.30092e-20   363: -4.63876e-06   364: -2.31938e-06   367: 4.63876e-06   368: 2.31938e-06   371: 2.75286e-20   372: 1.23743e-05   373: -3.61078e-06   374: 1.80539e-06   477: 3.61078e-06   478: -1.80539e-06   636: -7.72918e-21   639: -6.67038e-21\n",
      "Row 373:   50: -0.000610142   51: -0.000153418   70: -0.000151653   71: -0.000610142   369: 2.55697e-05   370: -3.65282e-06   371: 2.52755e-05   372: -3.61078e-06   373: 0.00010169   374: 1.18585e-20   377: 2.55697e-05   378: 3.65282e-06   477: 2.52755e-05   478: 3.61078e-06   638: -1.46113e-05   639: -1.44431e-05\n",
      "Row 374:   50: 0.00010169   51: -8.21622e-20   70: -5.0822e-21   71: -0.00010169   369: -3.65282e-06   370: 1.82641e-06   371: -3.61078e-06   372: 1.80539e-06   373: 1.18585e-20   374: 1.08954e-05   377: 3.65282e-06   378: 1.82641e-06   477: 3.61078e-06   478: 1.80539e-06   638: -6.56451e-21   639: -6.35275e-22\n",
      "Row 375:   25: -0.000182505   51: -0.000668138   52: -0.000668138   71: -0.000151564   231: 3.04176e-05   232: 4.34537e-06   233: 3.04176e-05   234: 4.34537e-06   375: 0.000111356   376: -1.3976e-20   377: 2.52606e-05   378: -3.60866e-06   381: 2.52606e-05   382: -3.60866e-06   596: -1.73815e-05   640: -1.44346e-05\n",
      "Row 376:   25: 9.14796e-20   51: 0.000111356   52: -0.000111356   71: -5.0822e-21   231: -4.34537e-06   232: -2.17268e-06   233: 4.34537e-06   234: 2.17268e-06   375: -1.3976e-20   376: 1.1931e-05   377: -3.60866e-06   378: 1.80433e-06   381: 3.60866e-06   382: -1.80433e-06   596: 7.41154e-21   640: -1.05879e-21\n",
      "Row 377:   50: -0.000153418   51: -0.000609964   52: -0.000151564   71: -0.000609964   369: 2.55697e-05   370: 3.65282e-06   373: 2.55697e-05   374: 3.65282e-06   375: 2.52606e-05   376: -3.60866e-06   377: 0.000101661   378: 2.32934e-20   381: 2.52606e-05   382: 3.60866e-06   638: -1.46113e-05   640: -1.44346e-05\n",
      "Row 378:   50: -7.87741e-20   51: 0.000101661   52: -8.21622e-20   71: -0.000101661   369: -3.65282e-06   370: -1.82641e-06   373: 3.65282e-06   374: 1.82641e-06   375: -3.60866e-06   376: 1.80433e-06   377: 2.32934e-20   378: 1.08922e-05   381: 3.60866e-06   382: 1.80433e-06   638: -6.03511e-21   640: -6.35275e-21\n",
      "Row 379:   26: -0.000178009   52: -0.000731136   53: -0.000731136   73: -0.000187559   237: 2.96682e-05   238: 4.23832e-06   239: 2.96682e-05   240: 4.23832e-06   379: 0.000121856   380: -1.3976e-20   383: 3.12598e-05   384: -4.46568e-06   389: 3.12598e-05   390: -4.46568e-06   598: -1.69533e-05   642: -1.78627e-05\n",
      "Row 380:   26: 8.97855e-20   52: 0.000121856   53: -0.000121856   73: -5.0822e-21   237: -4.23832e-06   238: -2.11916e-06   239: 4.23832e-06   240: 2.11916e-06   379: -1.3976e-20   380: 1.3056e-05   383: -4.46568e-06   384: 2.23284e-06   389: 4.46568e-06   390: -2.23284e-06   598: 6.98802e-21   642: -8.47033e-22\n",
      "Row 381:   51: -0.000151564   52: -0.000602063   71: -0.000602063   73: -0.000149468   375: 2.52606e-05   376: 3.60866e-06   377: 2.52606e-05   378: 3.60866e-06   381: 0.000100344   382: 2.20229e-20   383: 2.49113e-05   384: -3.55876e-06   483: 2.49113e-05   484: -3.55876e-06   640: -1.44346e-05   643: -1.4235e-05\n",
      "Row 382:   51: -7.7927e-20   52: 0.000100344   71: -0.000100344   73: -8.13152e-20   375: -3.60866e-06   376: -1.80433e-06   377: 3.60866e-06   378: 1.80433e-06   381: 2.20229e-20   382: 1.07511e-05   383: -3.55876e-06   384: 1.77938e-06   483: 3.55876e-06   484: -1.77938e-06   640: -6.03511e-21   643: -6.45863e-21\n",
      "Row 383:   52: -0.000674053   53: -0.000187559   71: -0.000149468   73: -0.000674053   379: 3.12598e-05   380: -4.46568e-06   381: 2.49113e-05   382: -3.55876e-06   383: 0.000112342   384: 1.52466e-20   389: 3.12598e-05   390: 4.46568e-06   483: 2.49113e-05   484: 3.55876e-06   642: -1.78627e-05   643: -1.4235e-05\n",
      "Row 384:   52: 0.000112342   53: -1.03338e-19   71: -5.0822e-21   73: -0.000112342   379: -4.46568e-06   380: 2.23284e-06   381: -3.55876e-06   382: 1.77938e-06   383: 1.52466e-20   384: 1.20367e-05   389: 4.46568e-06   390: 2.23284e-06   483: 3.55876e-06   484: 1.77938e-06   642: -7.83505e-21   643: -8.47033e-22\n",
      "Row 385:   27: -0.000202481   53: -0.000833056   54: -0.000833056   72: -0.000214047   243: 3.37468e-05   244: 4.82098e-06   245: 3.37468e-05   246: 4.82098e-06   385: 0.000138843   386: -1.65171e-20   387: 3.56745e-05   388: -5.09636e-06   393: 3.56745e-05   394: -5.09636e-06   600: -1.92839e-05   641: -2.03854e-05\n",
      "Row 386:   27: 1.02491e-19   53: 0.000138843   54: -0.000138843   72: -3.38813e-21   243: -4.82098e-06   244: -2.41049e-06   245: 4.82098e-06   246: 2.41049e-06   385: -1.65171e-20   386: 1.4876e-05   387: -5.09636e-06   388: 2.54818e-06   393: 5.09636e-06   394: -2.54818e-06   600: 7.83505e-21   641: -8.47033e-22\n",
      "Row 387:   53: -0.000820985   54: -0.000214047   72: -0.000820985   73: -0.000196445   385: 3.56745e-05   386: -5.09636e-06   387: 0.000136831   388: 1.56701e-20   389: 3.27409e-05   390: -4.67727e-06   393: 3.56745e-05   394: 5.09636e-06   485: 3.27409e-05   486: -4.67727e-06   641: -2.03854e-05   644: -1.87091e-05\n",
      "Row 388:   53: 0.000136831   54: -1.16891e-19   72: -0.000136831   73: -6.77626e-21   385: -5.09636e-06   386: 2.54818e-06   387: 1.56701e-20   388: 1.46604e-05   389: -4.67727e-06   390: 2.33863e-06   393: 5.09636e-06   394: 2.54818e-06   485: 4.67727e-06   486: -2.33863e-06   641: -8.99973e-21   644: -6.35275e-22\n",
      "Row 389:   52: -0.000187559   53: -0.000768007   72: -0.000196445   73: -0.000768007   379: 3.12598e-05   380: 4.46568e-06   383: 3.12598e-05   384: 4.46568e-06   387: 3.27409e-05   388: -4.67727e-06   389: 0.000128001   390: 3.13402e-20   485: 3.27409e-05   486: 4.67727e-06   642: -1.78627e-05   644: -1.87091e-05\n",
      "Row 390:   52: -9.74088e-20   53: 0.000128001   72: -1.05032e-19   73: -0.000128001   379: -4.46568e-06   380: -2.23284e-06   383: 4.46568e-06   384: 2.23284e-06   387: -4.67727e-06   388: 2.33863e-06   389: 3.13402e-20   390: 1.37144e-05   485: 4.67727e-06   486: 2.33863e-06   642: -6.98802e-21   644: -8.25857e-21\n",
      "Row 391:   28: -0.000218747   54: -0.000900549   55: -0.000900549   74: -0.000231528   249: 3.64578e-05   250: 5.20826e-06   251: 3.64578e-05   252: 5.20826e-06   391: 0.000150092   392: -1.52466e-20   395: 3.85879e-05   396: -5.51256e-06   399: 3.85879e-05   400: -5.51256e-06   602: -2.0833e-05   645: -2.20502e-05\n",
      "Row 392:   28: 1.11808e-19   54: 0.000150092   55: -0.000150092   74: -5.0822e-21   249: -5.20826e-06   250: -2.60413e-06   251: 5.20826e-06   252: 2.60413e-06   391: -1.52466e-20   392: 1.60812e-05   395: -5.51256e-06   396: 2.75628e-06   399: 5.51256e-06   400: -2.75628e-06   602: 8.78797e-21   645: -1.05879e-21\n",
      "Row 393:   53: -0.000214047   54: -0.000872758   72: -0.000872758   74: -0.000222332   385: 3.56745e-05   386: 5.09636e-06   387: 3.56745e-05   388: 5.09636e-06   393: 0.00014546   394: 3.30343e-20   395: 3.70553e-05   396: -5.29361e-06   487: 3.70553e-05   488: -5.29361e-06   641: -2.03854e-05   646: -2.11744e-05\n",
      "Row 394:   53: -1.09267e-19   54: 0.00014546   72: -0.00014546   74: -1.20279e-19   385: -5.09636e-06   386: -2.54818e-06   387: 5.09636e-06   388: 2.54818e-06   393: 3.30343e-20   394: 1.5585e-05   395: -5.29361e-06   396: 2.64681e-06   487: 5.29361e-06   488: -2.64681e-06   641: -8.57621e-21   646: -9.74088e-21\n",
      "Row 395:   54: -0.000907719   55: -0.000231528   72: -0.000222332   74: -0.000907719   391: 3.85879e-05   392: -5.51256e-06   393: 3.70553e-05   394: -5.29361e-06   395: 0.000151286   396: 1.82112e-20   399: 3.85879e-05   400: 5.51256e-06   487: 3.70553e-05   488: 5.29361e-06   645: -2.20502e-05   646: -2.11744e-05\n",
      "Row 396:   54: 0.000151286   55: -1.23667e-19   72: -5.0822e-21   74: -0.000151286   391: -5.51256e-06   392: 2.75628e-06   393: -5.29361e-06   394: 2.64681e-06   395: 1.82112e-20   396: 1.62093e-05   399: 5.51256e-06   400: 2.75628e-06   487: 5.29361e-06   488: 2.64681e-06   645: -9.95264e-21   646: -8.47033e-22\n",
      "Row 397:   29: -0.000273378   55: -0.00103544   56: -0.00103544   75: -0.000244343   255: 4.55631e-05   256: 6.50901e-06   257: 4.55631e-05   258: 6.50901e-06   397: 0.000172574   398: -2.28699e-20   401: 4.07238e-05   402: -5.81768e-06   405: 4.07238e-05   406: -5.81768e-06   604: -2.6036e-05   647: -2.32707e-05\n",
      "Row 398:   29: 1.38913e-19   55: 0.000172574   56: -0.000172574   75: -1.69407e-21   255: -6.50901e-06   256: -3.2545e-06   257: 6.50901e-06   258: 3.2545e-06   397: -2.28699e-20   398: 1.849e-05   401: -5.81768e-06   402: 2.90884e-06   405: 5.81768e-06   406: -2.90884e-06   604: 1.05879e-20   647: -1.05879e-21\n",
      "Row 399:   54: -0.000231528   55: -0.000878208   74: -0.000878208   75: -0.000207576   391: 3.85879e-05   392: 5.51256e-06   395: 3.85879e-05   396: 5.51256e-06   399: 0.000146368   400: 3.30343e-20   401: 3.45961e-05   402: -4.9423e-06   495: 3.45961e-05   496: -4.9423e-06   645: -2.20502e-05   648: -1.97692e-05\n",
      "Row 400:   54: -1.18585e-19   55: 0.000146368   74: -0.000146368   75: -1.13502e-19   391: -5.51256e-06   392: -2.75628e-06   395: 5.51256e-06   396: 2.75628e-06   399: 3.30343e-20   400: 1.56823e-05   401: -4.9423e-06   402: 2.47115e-06   495: 4.9423e-06   496: -2.47115e-06   645: -9.21148e-21   648: -8.78797e-21\n",
      "Row 401:   55: -0.000903838   56: -0.000244343   74: -0.000207576   75: -0.000903838   397: 4.07238e-05   398: -5.81768e-06   399: 3.45961e-05   400: -4.9423e-06   401: 0.00015064   402: 1.86347e-20   405: 4.07238e-05   406: 5.81768e-06   495: 3.45961e-05   496: 4.9423e-06   647: -2.32707e-05   648: -1.97692e-05\n",
      "Row 402:   55: 0.00015064   56: -1.33831e-19   74: -3.38813e-21   75: -0.00015064   397: -5.81768e-06   398: 2.90884e-06   399: -4.9423e-06   400: 2.47115e-06   401: 1.86347e-20   402: 1.614e-05   405: 5.81768e-06   406: 2.90884e-06   495: 4.9423e-06   496: 2.47115e-06   647: -1.0482e-20   648: -1.05879e-21\n",
      "Row 403:   32: -0.000297569   56: -0.00107569   58: -0.00107569   75: -0.000240276   269: 4.95948e-05   270: 7.08497e-06   271: 4.95948e-05   272: 7.08497e-06   403: 0.000179282   404: -2.20229e-20   405: 4.0046e-05   406: -5.72086e-06   415: 4.0046e-05   416: -5.72086e-06   653: -2.28834e-05   654: -2.83399e-05\n",
      "Row 404:   32: 1.50772e-19   56: 0.000179282   58: -0.000179282   75: -5.0822e-21   269: -7.08497e-06   270: -3.54249e-06   271: 7.08497e-06   272: 3.54249e-06   403: -2.20229e-20   404: 1.92087e-05   405: -5.72086e-06   406: 2.86043e-06   415: 5.72086e-06   416: -2.86043e-06   653: -1.05879e-21   654: 1.18585e-20\n",
      "Row 405:   55: -0.000244343   56: -0.000969237   58: -0.000240276   75: -0.000969237   397: 4.07238e-05   398: 5.81768e-06   401: 4.07238e-05   402: 5.81768e-06   403: 4.0046e-05   404: -5.72086e-06   405: 0.00016154   406: 3.72694e-20   415: 4.0046e-05   416: 5.72086e-06   647: -2.32707e-05   653: -2.28834e-05\n",
      "Row 406:   55: -1.23667e-19   56: 0.00016154   58: -1.30443e-19   75: -0.00016154   397: -5.81768e-06   398: -2.90884e-06   401: 5.81768e-06   402: 2.90884e-06   403: -5.72086e-06   404: 2.86043e-06   405: 3.72694e-20   406: 1.73078e-05   415: 5.72086e-06   416: 2.86043e-06   647: -9.635e-21   653: -1.03762e-20\n",
      "Row 407:   33: -0.000254586   57: -0.0011119   58: -0.0011119   84: -0.000301364   275: 4.2431e-05   276: 6.06157e-06   277: 4.2431e-05   278: 6.06157e-06   407: 0.000185316   408: 4.15046e-20   413: 5.02273e-05   414: -7.17532e-06   417: 5.02273e-05   418: -7.17532e-06   612: -2.42463e-05   668: -2.87013e-05\n",
      "Row 408:   33: -1.30443e-19   57: 0.000185316   58: -0.000185316   84: -1.64324e-19   275: -6.06157e-06   276: -3.03078e-06   277: 6.06157e-06   278: 3.03078e-06   407: 4.15046e-20   408: 1.98553e-05   413: -7.17532e-06   414: 3.58766e-06   417: 7.17532e-06   418: -3.58766e-06   612: -1.01644e-20   668: -1.29173e-20\n",
      "Row 409:   34: -0.000248035   57: -0.000952546   76: -0.000952546   83: -0.000228238   281: 4.13392e-05   282: 5.9056e-06   283: 4.13392e-05   284: 5.9056e-06   409: 0.000158758   410: -1.90582e-20   411: 3.80396e-05   412: -5.43423e-06   503: 3.80396e-05   504: -5.43423e-06   652: -2.36224e-05   667: -2.17369e-05\n",
      "Row 410:   34: 1.27055e-19   57: 0.000158758   76: -0.000158758   83: -3.38813e-21   281: -5.9056e-06   282: -2.9528e-06   283: 5.9056e-06   284: 2.9528e-06   409: -1.90582e-20   410: 1.70097e-05   411: -5.43423e-06   412: 2.71711e-06   503: 5.43423e-06   504: -2.71711e-06   652: 9.74088e-21   667: -8.47033e-22\n",
      "Row 411:   57: -0.000978492   76: -0.000228238   83: -0.000978492   84: -0.000261009   409: 3.80396e-05   410: -5.43423e-06   411: 0.000163082   412: 1.69407e-20   413: 4.35014e-05   414: -6.21449e-06   503: 3.80396e-05   504: 5.43423e-06   535: 4.35014e-05   536: -6.21449e-06   667: -2.17369e-05   670: -2.4858e-05\n",
      "Row 412:   57: 0.000163082   76: -1.25361e-19   83: -0.000163082   84: -8.47033e-21   409: -5.43423e-06   410: 2.71711e-06   411: 1.69407e-20   412: 1.74731e-05   413: -6.21449e-06   414: 3.10725e-06   503: 5.43423e-06   504: 2.71711e-06   535: 6.21449e-06   536: -3.10725e-06   667: -9.74088e-21   670: -1.27055e-21\n",
      "Row 413:   57: -0.00112474   58: -0.000301364   83: -0.000261009   84: -0.00112474   407: 5.02273e-05   408: -7.17532e-06   411: 4.35014e-05   412: -6.21449e-06   413: 0.000187457   414: 1.94818e-20   417: 5.02273e-05   418: 7.17532e-06   535: 4.35014e-05   536: 6.21449e-06   668: -2.87013e-05   670: -2.4858e-05\n",
      "Row 414:   57: 0.000187457   58: -6.77626e-21   83: -1.40607e-19   84: -0.000187457   407: -7.17532e-06   408: 3.58766e-06   411: -6.21449e-06   412: 3.10725e-06   413: 1.94818e-20   414: 2.00847e-05   417: 7.17532e-06   418: 3.58766e-06   535: 6.21449e-06   536: 3.10725e-06   668: -1.27055e-21   670: -1.12232e-20\n",
      "Row 415:   56: -0.000240276   58: -0.00098646   75: -0.00098646   84: -0.000252954   403: 4.0046e-05   404: 5.72086e-06   405: 4.0046e-05   406: 5.72086e-06   415: 0.00016441   416: 3.81165e-20   417: 4.2159e-05   418: -6.02271e-06   501: 4.2159e-05   502: -6.02271e-06   653: -2.28834e-05   669: -2.40909e-05\n",
      "Row 416:   56: -1.23667e-19   58: 0.00016441   75: -0.00016441   84: -1.38913e-19   403: -5.72086e-06   404: -2.86043e-06   405: 5.72086e-06   406: 2.86043e-06   415: 3.81165e-20   416: 1.76154e-05   417: -6.02271e-06   418: 3.01136e-06   501: 6.02271e-06   502: -3.01136e-06   653: -9.31736e-21   669: -1.10114e-20\n",
      "Row 417:   57: -0.000301364   58: -0.00110864   75: -0.000252954   84: -0.00110864   407: 5.02273e-05   408: 7.17532e-06   413: 5.02273e-05   414: 7.17532e-06   415: 4.2159e-05   416: -6.02271e-06   417: 0.000184773   418: -2.58345e-20   501: 4.2159e-05   502: 6.02271e-06   668: -2.87013e-05   669: -2.40909e-05\n",
      "Row 418:   57: 1.5416e-19   58: 0.000184773   75: -1.01644e-20   84: -0.000184773   407: -7.17532e-06   408: -3.58766e-06   413: 7.17532e-06   414: 3.58766e-06   415: -6.02271e-06   416: 3.01136e-06   417: -2.58345e-20   418: 1.97971e-05   501: 6.02271e-06   502: 3.01136e-06   668: 1.18585e-20   669: -1.05879e-21\n",
      "Row 419:   36: -0.000169672   59: -0.000725376   60: -0.000725376   77: -0.000193016   293: 2.82787e-05   294: 4.03981e-06   295: 2.82787e-05   296: 4.03981e-06   419: 0.000120896   420: -1.43996e-20   423: 3.21693e-05   424: -4.59561e-06   429: 3.21693e-05   430: -4.59561e-06   615: -1.61593e-05   657: -1.83824e-05\n",
      "Row 420:   36: 8.80914e-20   59: 0.000120896   60: -0.000120896   77: -5.0822e-21   293: -4.03981e-06   294: -2.01991e-06   295: 4.03981e-06   296: 2.01991e-06   419: -1.43996e-20   420: 1.29531e-05   423: -4.59561e-06   424: 2.29781e-06   429: 4.59561e-06   430: -2.29781e-06   615: 6.45863e-21   657: -1.05879e-21\n",
      "Row 421:   35: -0.000223537   59: -0.000979617   76: -0.000979617   86: -0.000266271   287: 3.72562e-05   288: 5.32232e-06   289: 3.72562e-05   290: 5.32232e-06   421: 0.000163269   422: 3.81165e-20   425: 4.43785e-05   426: -6.33979e-06   505: 4.43785e-05   506: -6.33979e-06   650: -2.12893e-05   675: -2.53592e-05\n",
      "Row 422:   35: -1.15196e-19   59: 0.000163269   76: -0.000163269   86: -1.47384e-19   287: -5.32232e-06   288: -2.66116e-06   289: 5.32232e-06   290: 2.66116e-06   421: 3.81165e-20   422: 1.74932e-05   425: -6.33979e-06   426: 3.1699e-06   505: 6.33979e-06   506: -3.1699e-06   650: -8.89385e-21   675: -1.15408e-20\n",
      "Row 423:   59: -0.000961204   60: -0.000193016   77: -0.000961204   86: -0.000287587   419: 3.21693e-05   420: -4.59561e-06   423: 0.000160201   424: 1.35525e-20   425: 4.79311e-05   426: -6.8473e-06   429: 3.21693e-05   430: 4.59561e-06   509: 4.79311e-05   510: -6.8473e-06   657: -1.83824e-05   679: -2.73892e-05\n",
      "Row 424:   59: 0.000160201   60: -1.06726e-19   77: -0.000160201   86: -6.77626e-21   419: -4.59561e-06   420: 2.29781e-06   423: 1.35525e-20   424: 1.71644e-05   425: -6.8473e-06   426: 3.42365e-06   429: 4.59561e-06   430: 2.29781e-06   509: 6.8473e-06   510: -3.42365e-06   657: -8.04681e-21   679: -1.27055e-21\n",
      "Row 425:   59: -0.00110772   76: -0.000266271   77: -0.000287587   86: -0.00110772   421: 4.43785e-05   422: -6.33979e-06   423: 4.79311e-05   424: -6.8473e-06   425: 0.000184619   426: 2.28699e-20   505: 4.43785e-05   506: 6.33979e-06   509: 4.79311e-05   510: 6.8473e-06   675: -2.53592e-05   679: -2.73892e-05\n",
      "Row 426:   59: 0.000184619   76: -8.47033e-21   77: -1.5416e-19   86: -0.000184619   421: -6.33979e-06   422: 3.1699e-06   423: -6.8473e-06   424: 3.42365e-06   425: 2.28699e-20   426: 1.97806e-05   505: 6.33979e-06   506: 3.1699e-06   509: 6.8473e-06   510: 3.42365e-06   675: -1.27055e-21   679: -1.24937e-20\n",
      "Row 427:   37: -0.000151713   60: -0.000663325   61: -0.000663325   77: -0.000179949   299: 2.52855e-05   300: 3.61222e-06   301: 2.52855e-05   302: 3.61222e-06   427: 0.000110554   428: -1.2282e-20   429: 2.99916e-05   430: -4.28451e-06   433: 2.99916e-05   434: -4.28451e-06   617: -1.44489e-05   655: -1.7138e-05\n",
      "Row 428:   37: 7.708e-20   60: 0.000110554   61: -0.000110554   77: -3.38813e-21   299: -3.61222e-06   300: -1.80611e-06   301: 3.61222e-06   302: 1.80611e-06   427: -1.2282e-20   428: 1.18451e-05   429: -4.28451e-06   430: 2.14225e-06   433: 4.28451e-06   434: -2.14225e-06   617: 5.71747e-21   655: -8.47033e-22\n",
      "Row 429:   59: -0.000193016   60: -0.00074593   61: -0.000179949   77: -0.00074593   419: 3.21693e-05   420: 4.59561e-06   423: 3.21693e-05   424: 4.59561e-06   427: 2.99916e-05   428: -4.28451e-06   429: 0.000124322   430: 2.87991e-20   433: 2.99916e-05   434: 4.28451e-06   655: -1.7138e-05   657: -1.83824e-05\n",
      "Row 430:   59: -1.00797e-19   60: 0.000124322   61: -9.82558e-20   77: -0.000124322   419: -4.59561e-06   420: -2.29781e-06   423: 4.59561e-06   424: 2.29781e-06   427: -4.28451e-06   428: 2.14225e-06   429: 2.87991e-20   430: 1.33202e-05   433: 4.28451e-06   434: 2.14225e-06   655: -7.6233e-21   657: -7.19978e-21\n",
      "Row 431:   39: -0.000148305   61: -0.000651791   63: -0.000651791   77: -0.000177591   309: 2.47175e-05   310: 3.53107e-06   311: 2.47175e-05   312: 3.53107e-06   431: 0.000108632   432: -1.3129e-20   433: 2.95985e-05   434: -4.22835e-06   443: 2.95985e-05   444: -4.22835e-06   621: -1.41243e-05   656: -1.69134e-05\n",
      "Row 432:   39: 7.45389e-20   61: 0.000108632   63: -0.000108632   77: -3.38813e-21   309: -3.53107e-06   310: -1.76553e-06   311: 3.53107e-06   312: 1.76553e-06   431: -1.3129e-20   432: 1.16391e-05   433: -4.22835e-06   434: 2.11418e-06   443: 4.22835e-06   444: -2.11418e-06   621: 5.92923e-21   656: -6.35275e-22\n",
      "Row 433:   60: -0.000179949   61: -0.00071508   63: -0.000177591   77: -0.00071508   427: 2.99916e-05   428: 4.28451e-06   429: 2.99916e-05   430: 4.28451e-06   431: 2.95985e-05   432: -4.22835e-06   433: 0.00011918   434: 2.6258e-20   443: 2.95985e-05   444: 4.22835e-06   655: -1.7138e-05   656: -1.69134e-05\n",
      "Row 434:   60: -9.14796e-20   61: 0.00011918   63: -9.57147e-20   77: -0.00011918   427: -4.28451e-06   428: -2.14225e-06   429: 4.28451e-06   430: 2.14225e-06   431: -4.22835e-06   432: 2.11418e-06   433: 2.6258e-20   434: 1.27693e-05   443: 4.22835e-06   444: 2.11418e-06   655: -7.19978e-21   656: -7.30566e-21\n",
      "Row 435:   40: -0.000160819   62: -0.000702034   63: -0.000702034   77: -0.000190198   315: 2.68032e-05   316: 3.82902e-06   317: 2.68032e-05   318: 3.82902e-06   435: 0.000117006   436: 2.79521e-20   439: 3.16996e-05   440: -4.52852e-06   443: 3.16996e-05   444: -4.52852e-06   622: -1.53161e-05   678: -1.81141e-05\n",
      "Row 436:   40: -8.13152e-20   62: 0.000117006   63: -0.000117006   77: -1.03338e-19   315: -3.82902e-06   316: -1.91451e-06   317: 3.82902e-06   318: 1.91451e-06   435: 2.79521e-20   436: 1.25363e-05   439: -4.52852e-06   440: 2.26426e-06   443: 4.52852e-06   444: -2.26426e-06   622: -6.03511e-21   678: -8.25857e-21\n",
      "Row 437:   41: -0.000210833   62: -0.00086216   64: -0.00086216   78: -0.000220247   321: 3.51388e-05   322: 5.01982e-06   323: 3.51388e-05   324: 5.01982e-06   437: 0.000143693   438: -1.73642e-20   441: 3.67079e-05   442: -5.24398e-06   447: 3.67079e-05   448: -5.24398e-06   624: -2.00793e-05   659: -2.09759e-05\n",
      "Row 438:   41: 1.0842e-19   62: 0.000143693   64: -0.000143693   78: -3.38813e-21   321: -5.01982e-06   322: -2.50991e-06   323: 5.01982e-06   324: 2.50991e-06   437: -1.73642e-20   438: 1.53957e-05   441: -5.24398e-06   442: 2.62199e-06   447: 5.24398e-06   448: -2.62199e-06   624: 8.25857e-21   659: -8.47033e-22\n",
      "Row 439:   62: -0.000866282   63: -0.000190198   77: -0.000866282   78: -0.000242943   435: 3.16996e-05   436: -4.52852e-06   439: 0.00014438   440: 1.73642e-20   441: 4.04905e-05   442: -5.78436e-06   443: 3.16996e-05   444: 4.52852e-06   507: 4.04905e-05   508: -5.78436e-06   678: -1.81141e-05   684: -2.31374e-05\n",
      "Row 440:   62: 0.00014438   63: -6.77626e-21   77: -0.00014438   78: -1.32137e-19   435: -4.52852e-06   436: 2.26426e-06   439: 1.73642e-20   440: 1.54693e-05   441: -5.78436e-06   442: 2.89218e-06   443: 4.52852e-06   444: 2.26426e-06   507: 5.78436e-06   508: -2.89218e-06   678: -8.47033e-22   684: -1.0482e-20\n",
      "Row 441:   62: -0.000926381   64: -0.000220247   77: -0.000242943   78: -0.000926381   437: 3.67079e-05   438: -5.24398e-06   439: 4.04905e-05   440: -5.78436e-06   441: 0.000154397   442: 1.73642e-20   447: 3.67079e-05   448: 5.24398e-06   507: 4.04905e-05   508: 5.78436e-06   659: -2.09759e-05   684: -2.31374e-05\n",
      "Row 442:   62: 0.000154397   64: -1.20279e-19   77: -5.0822e-21   78: -0.000154397   437: -5.24398e-06   438: 2.62199e-06   439: -5.78436e-06   440: 2.89218e-06   441: 1.73642e-20   442: 1.65425e-05   447: 5.24398e-06   448: 2.62199e-06   507: 5.78436e-06   508: 2.89218e-06   659: -9.635e-21   684: -1.27055e-21\n",
      "Row 443:   61: -0.000177591   62: -0.000190198   63: -0.000735577   77: -0.000735577   431: 2.95985e-05   432: 4.22835e-06   433: 2.95985e-05   434: 4.22835e-06   435: 3.16996e-05   436: 4.52852e-06   439: 3.16996e-05   440: 4.52852e-06   443: 0.000122596   444: -8.47033e-22   656: -1.69134e-05   678: -1.81141e-05\n",
      "Row 444:   61: -9.06325e-20   62: 9.91029e-20   63: 0.000122596   77: -0.000122596   431: -4.22835e-06   432: -2.11418e-06   433: 4.22835e-06   434: 2.11418e-06   435: -4.52852e-06   436: -2.26426e-06   439: 4.52852e-06   440: 2.26426e-06   443: -8.47033e-22   444: 1.31353e-05   656: -6.98802e-21   678: 7.41154e-21\n",
      "Row 445:   42: -0.000239105   64: -0.00096064   65: -0.00096064   82: -0.000241215   327: 3.98508e-05   328: 5.69298e-06   329: 3.98508e-05   330: 5.69298e-06   445: 0.000160107   446: -1.94818e-20   449: 4.02025e-05   450: -5.74321e-06   455: 4.02025e-05   456: -5.74321e-06   626: -2.27719e-05   665: -2.29729e-05\n",
      "Row 446:   42: 1.20279e-19   64: 0.000160107   65: -0.000160107   82: -8.47033e-21   327: -5.69298e-06   328: -2.84649e-06   329: 5.69298e-06   330: 2.84649e-06   445: -1.94818e-20   446: 1.71543e-05   449: -5.74321e-06   450: 2.87161e-06   455: 5.74321e-06   456: -2.87161e-06   626: 9.42324e-21   665: -1.05879e-21\n",
      "Row 447:   62: -0.000220247   64: -0.000938054   78: -0.000938054   82: -0.00024878   437: 3.67079e-05   438: 5.24398e-06   441: 3.67079e-05   442: 5.24398e-06   447: 0.000156342   448: 3.55754e-20   449: 4.14633e-05   450: -5.92333e-06   511: 4.14633e-05   512: -5.92333e-06   659: -2.09759e-05   666: -2.36933e-05\n",
      "Row 448:   62: -1.13502e-19   64: 0.000156342   78: -0.000156342   82: -1.37219e-19   437: -5.24398e-06   438: -2.62199e-06   441: 5.24398e-06   442: 2.62199e-06   447: 3.55754e-20   448: 1.6751e-05   449: -5.92333e-06   450: 2.96167e-06   511: 5.92333e-06   512: -2.96167e-06   659: -8.47033e-21   666: -1.06938e-20\n",
      "Row 449:   64: -0.00097999   65: -0.000241215   78: -0.00024878   82: -0.00097999   445: 4.02025e-05   446: -5.74321e-06   447: 4.14633e-05   448: -5.92333e-06   449: 0.000163332   450: 1.86347e-20   455: 4.02025e-05   456: 5.74321e-06   511: 4.14633e-05   512: 5.92333e-06   665: -2.29729e-05   666: -2.36933e-05\n",
      "Row 450:   64: 0.000163332   65: -1.30443e-19   78: -8.47033e-21   82: -0.000163332   445: -5.74321e-06   446: 2.87161e-06   447: -5.92333e-06   448: 2.96167e-06   449: 1.86347e-20   450: 1.74998e-05   455: 5.74321e-06   456: 2.87161e-06   511: 5.92333e-06   512: 2.96167e-06   665: -1.02703e-20   666: -1.27055e-21\n",
      "Row 451:   43: -0.000242447   65: -0.00105649   66: -0.00105649   68: -0.0002858   333: 4.04078e-05   334: 5.77254e-06   335: 4.04078e-05   336: 5.77254e-06   451: 0.000176082   452: -1.69407e-20   453: 4.76334e-05   454: -6.80477e-06   457: 4.76334e-05   458: -6.80477e-06   628: -2.30902e-05   658: -2.72191e-05\n",
      "Row 452:   43: 1.25361e-19   65: 0.000176082   66: -0.000176082   68: -1.01644e-20   333: -5.77254e-06   334: -2.88627e-06   335: 5.77254e-06   336: 2.88627e-06   451: -1.69407e-20   452: 1.8866e-05   453: -6.80477e-06   454: 3.40239e-06   457: 6.80477e-06   458: -3.40239e-06   628: 9.52912e-21   658: -1.27055e-21\n",
      "Row 453:   65: -0.00117165   66: -0.0002858   68: -0.00117165   82: -0.000300024   451: 4.76334e-05   452: -6.80477e-06   453: 0.000195275   454: 2.20229e-20   455: 5.00041e-05   456: -7.14344e-06   457: 4.76334e-05   458: 6.80477e-06   469: 5.00041e-05   470: -7.14344e-06   658: -2.72191e-05   673: -2.85738e-05\n",
      "Row 454:   65: 0.000195275   66: -1.57548e-19   68: -0.000195275   82: -1.01644e-20   451: -6.80477e-06   452: 3.40239e-06   453: 2.20229e-20   454: 2.09223e-05   455: -7.14344e-06   456: 3.57172e-06   457: 6.80477e-06   458: 3.40239e-06   469: 7.14344e-06   470: -3.57172e-06   658: -1.21761e-20   673: -1.27055e-21\n",
      "Row 455:   64: -0.000241215   65: -0.00108248   68: -0.000300024   82: -0.00108248   445: 4.02025e-05   446: 5.74321e-06   449: 4.02025e-05   450: 5.74321e-06   453: 5.00041e-05   454: -7.14344e-06   455: 0.000180413   456: 4.15046e-20   469: 5.00041e-05   470: 7.14344e-06   665: -2.29729e-05   673: -2.85738e-05\n",
      "Row 456:   64: -1.25361e-19   65: 0.000180413   68: -1.64324e-19   82: -0.000180413   445: -5.74321e-06   446: -2.87161e-06   449: 5.74321e-06   450: 2.87161e-06   453: -7.14344e-06   454: 3.57172e-06   455: 4.15046e-20   456: 1.933e-05   469: 7.14344e-06   470: 3.57172e-06   665: -9.1056e-21   673: -1.24937e-20\n",
      "Row 457:   46: -0.00029091   65: -0.0002858   66: -0.00115342   68: -0.00115342   347: 4.8485e-05   348: 6.92644e-06   349: 4.8485e-05   350: 6.92644e-06   451: 4.76334e-05   452: 6.80477e-06   453: 4.76334e-05   454: 6.80477e-06   457: 0.000192237   458: 0   651: -2.77057e-05   658: -2.72191e-05\n",
      "Row 458:   46: 1.4569e-19   65: -1.47384e-19   66: 0.000192237   68: -0.000192237   347: -6.92644e-06   348: -3.46322e-06   349: 6.92644e-06   350: 3.46322e-06   451: -6.80477e-06   452: -3.40239e-06   453: 6.80477e-06   454: 3.40239e-06   457: 0   458: 2.05968e-05   651: 1.14349e-20   658: -1.10114e-20\n",
      "Row 459:   47: -0.000310478   67: -0.00124182   68: -0.00124182   81: -0.000310434   353: 5.17463e-05   354: 7.39233e-06   355: 5.17463e-05   356: 7.39233e-06   459: 0.000206971   460: 4.82809e-20   465: 5.1739e-05   466: -7.39129e-06   467: 5.1739e-05   468: -7.39129e-06   632: -2.95693e-05   663: -2.95652e-05\n",
      "Row 460:   47: -1.55854e-19   67: 0.000206971   68: -0.000206971   81: -1.67713e-19   353: -7.39233e-06   354: -3.69617e-06   355: 7.39233e-06   356: 3.69617e-06   459: 4.82809e-20   460: 2.21754e-05   465: -7.39129e-06   466: 3.69564e-06   467: 7.39129e-06   468: -3.69564e-06   632: -1.24937e-20   663: -1.35525e-20\n",
      "Row 461:   48: -0.000245929   67: -0.00101264   69: -0.00101264   80: -0.000260392   359: 4.09881e-05   360: 5.85544e-06   361: 4.09881e-05   362: 5.85544e-06   461: 0.000168773   462: -2.11758e-20   463: 4.33986e-05   464: -6.1998e-06   475: 4.33986e-05   476: -6.1998e-06   635: -2.34218e-05   661: -2.47992e-05\n",
      "Row 462:   48: 1.25361e-19   67: 0.000168773   69: -0.000168773   80: -1.01644e-20   359: -5.85544e-06   360: -2.92772e-06   361: 5.85544e-06   362: 2.92772e-06   461: -2.11758e-20   462: 1.80829e-05   463: -6.1998e-06   464: 3.0999e-06   475: 6.1998e-06   476: -3.0999e-06   635: 9.74088e-21   661: -1.27055e-21\n",
      "Row 463:   67: -0.00106069   69: -0.000260392   80: -0.00106069   81: -0.000269953   461: 4.33986e-05   462: -6.1998e-06   463: 0.000176782   464: 2.11758e-20   465: 4.49922e-05   466: -6.42745e-06   475: 4.33986e-05   476: 6.1998e-06   521: 4.49922e-05   522: -6.42745e-06   661: -2.47992e-05   664: -2.57098e-05\n",
      "Row 464:   67: 0.000176782   69: -1.38913e-19   80: -0.000176782   81: -1.01644e-20   461: -6.1998e-06   462: 3.0999e-06   463: 2.11758e-20   464: 1.89409e-05   465: -6.42745e-06   466: 3.21373e-06   475: 6.1998e-06   476: 3.0999e-06   521: 6.42745e-06   522: -3.21373e-06   661: -1.11173e-20   664: -8.47033e-22\n",
      "Row 465:   67: -0.00116077   68: -0.000310434   80: -0.000269953   81: -0.00116077   459: 5.1739e-05   460: -7.39129e-06   463: 4.49922e-05   464: -6.42745e-06   465: 0.000193462   466: 2.03288e-20   467: 5.1739e-05   468: 7.39129e-06   521: 4.49922e-05   522: 6.42745e-06   663: -2.95652e-05   664: -2.57098e-05\n",
      "Row 466:   67: 0.000193462   68: -6.77626e-21   80: -1.47384e-19   81: -0.000193462   459: -7.39129e-06   460: 3.69564e-06   463: -6.42745e-06   464: 3.21373e-06   465: 2.03288e-20   466: 2.07281e-05   467: 7.39129e-06   468: 3.69564e-06   521: 6.42745e-06   522: 3.21373e-06   663: -2.11758e-21   664: -1.15408e-20\n",
      "Row 467:   67: -0.000310434   68: -0.00124011   81: -0.00124011   82: -0.000309622   459: 5.1739e-05   460: 7.39129e-06   465: 5.1739e-05   466: 7.39129e-06   467: 0.000206685   468: -2.37169e-20   469: 5.16036e-05   470: -7.37194e-06   527: 5.16036e-05   528: -7.37194e-06   663: -2.95652e-05   680: -2.94878e-05\n",
      "Row 468:   67: 1.59242e-19   68: 0.000206685   81: -0.000206685   82: -1.35525e-20   459: -7.39129e-06   460: -3.69564e-06   465: 7.39129e-06   466: 3.69564e-06   467: -2.37169e-20   468: 2.21448e-05   469: -7.37194e-06   470: 3.68597e-06   527: 7.37194e-06   528: -3.68597e-06   663: 1.18585e-20   680: -1.69407e-21\n",
      "Row 469:   65: -0.000300024   68: -0.00121929   81: -0.000309622   82: -0.00121929   453: 5.00041e-05   454: 7.14344e-06   455: 5.00041e-05   456: 7.14344e-06   467: 5.16036e-05   468: -7.37194e-06   469: 0.000203215   470: 4.74338e-20   527: 5.16036e-05   528: 7.37194e-06   673: -2.85738e-05   680: -2.94878e-05\n",
      "Row 470:   65: -1.52466e-19   68: 0.000203215   81: -1.67713e-19   82: -0.000203215   453: -7.14344e-06   454: -3.57172e-06   455: 7.14344e-06   456: 3.57172e-06   467: -7.37194e-06   468: 3.68597e-06   469: 4.74338e-20   470: 2.17731e-05   527: 7.37194e-06   528: 3.68597e-06   673: -1.20702e-20   680: -1.3129e-20\n",
      "Row 471:   49: -0.000202251   69: -0.000825527   70: -0.000825527   79: -0.000210512   365: 3.37085e-05   366: 4.8155e-06   367: 3.37085e-05   368: 4.8155e-06   471: 0.000137588   472: -1.3976e-20   473: 3.50854e-05   474: -5.0122e-06   481: 3.50854e-05   482: -5.0122e-06   637: -1.9262e-05   660: -2.00488e-05\n",
      "Row 472:   49: 1.03338e-19   69: 0.000137588   70: -0.000137588   79: -5.0822e-21   365: -4.8155e-06   366: -2.40775e-06   367: 4.8155e-06   368: 2.40775e-06   471: -1.3976e-20   472: 1.47416e-05   473: -5.0122e-06   474: 2.5061e-06   481: 5.0122e-06   482: -2.5061e-06   637: 7.94093e-21   660: -1.05879e-21\n",
      "Row 473:   69: -0.000901139   70: -0.000210512   79: -0.000901139   80: -0.000240057   471: 3.50854e-05   472: -5.0122e-06   473: 0.00015019   474: 1.56701e-20   475: 4.00095e-05   476: -5.71565e-06   481: 3.50854e-05   482: 5.0122e-06   517: 4.00095e-05   518: -5.71565e-06   660: -2.00488e-05   662: -2.28626e-05\n",
      "Row 474:   69: 0.00015019   70: -1.15196e-19   79: -0.00015019   80: -5.0822e-21   471: -5.0122e-06   472: 2.5061e-06   473: 1.56701e-20   474: 1.60918e-05   475: -5.71565e-06   476: 2.85782e-06   481: 5.0122e-06   482: 2.5061e-06   517: 5.71565e-06   518: -2.85782e-06   660: -8.99973e-21   662: -1.05879e-21\n",
      "Row 475:   67: -0.000260392   69: -0.0010009   79: -0.000240057   80: -0.0010009   461: 4.33986e-05   462: 6.1998e-06   463: 4.33986e-05   464: 6.1998e-06   473: 4.00095e-05   474: -5.71565e-06   475: 0.000166816   476: 3.64224e-20   517: 4.00095e-05   518: 5.71565e-06   661: -2.47992e-05   662: -2.28626e-05\n",
      "Row 476:   67: -1.33831e-19   69: 0.000166816   79: -1.32137e-19   80: -0.000166816   461: -6.1998e-06   462: -3.0999e-06   463: 6.1998e-06   464: 3.0999e-06   473: -5.71565e-06   474: 2.85782e-06   475: 3.64224e-20   476: 1.78732e-05   517: 5.71565e-06   518: 2.85782e-06   661: -1.01644e-20   662: -1.02703e-20\n",
      "Row 477:   50: -0.000151653   70: -0.000613794   71: -0.000613794   73: -0.000155244   371: 2.52755e-05   372: 3.61078e-06   373: 2.52755e-05   374: 3.61078e-06   477: 0.000102299   478: -1.14349e-20   479: 2.5874e-05   480: -3.69629e-06   483: 2.5874e-05   484: -3.69629e-06   639: -1.44431e-05   671: -1.47851e-05\n",
      "Row 478:   50: 7.7927e-20   70: 0.000102299   71: -0.000102299   73: -3.38813e-21   371: -3.61078e-06   372: -1.80539e-06   373: 3.61078e-06   374: 1.80539e-06   477: -1.14349e-20   478: 1.09606e-05   479: -3.69629e-06   480: 1.84814e-06   483: 3.69629e-06   484: -1.84814e-06   639: 5.71747e-21   671: -8.47033e-22\n",
      "Row 479:   70: -0.000707   71: -0.000155244   73: -0.000707   79: -0.000198256   477: 2.5874e-05   478: -3.69629e-06   479: 0.000117833   480: 1.10114e-20   481: 3.30427e-05   482: -4.72038e-06   483: 2.5874e-05   484: 3.69629e-06   493: 3.30427e-05   494: -4.72038e-06   671: -1.47851e-05   677: -1.88815e-05\n",
      "Row 480:   70: 0.000117833   71: -8.47033e-20   73: -0.000117833   79: -5.0822e-21   477: -3.69629e-06   478: 1.84814e-06   479: 1.10114e-20   480: 1.2625e-05   481: -4.72038e-06   482: 2.36019e-06   483: 3.69629e-06   484: 1.84814e-06   493: 4.72038e-06   494: -2.36019e-06   671: -6.56451e-21   677: -6.35275e-22\n",
      "Row 481:   69: -0.000210512   70: -0.000817537   73: -0.000198256   79: -0.000817537   471: 3.50854e-05   472: 5.0122e-06   473: 3.50854e-05   474: 5.0122e-06   479: 3.30427e-05   480: -4.72038e-06   481: 0.000136256   482: 3.21873e-20   493: 3.30427e-05   494: 4.72038e-06   660: -2.00488e-05   677: -1.88815e-05\n",
      "Row 482:   69: -1.05879e-19   70: 0.000136256   73: -1.10114e-19   79: -0.000136256   471: -5.0122e-06   472: -2.5061e-06   473: 5.0122e-06   474: 2.5061e-06   479: -4.72038e-06   480: 2.36019e-06   481: 3.21873e-20   482: 1.45989e-05   493: 4.72038e-06   494: 2.36019e-06   660: -8.47033e-21   677: -8.47033e-21\n",
      "Row 483:   52: -0.000149468   70: -0.000155244   71: -0.000609424   73: -0.000609424   381: 2.49113e-05   382: 3.55876e-06   383: 2.49113e-05   384: 3.55876e-06   477: 2.5874e-05   478: 3.69629e-06   479: 2.5874e-05   480: 3.69629e-06   483: 0.000101571   484: 8.47033e-22   643: -1.4235e-05   671: -1.47851e-05\n",
      "Row 484:   52: 7.708e-20   70: -7.87741e-20   71: 0.000101571   73: -0.000101571   381: -3.55876e-06   382: -1.77938e-06   383: 3.55876e-06   384: 1.77938e-06   477: -3.69629e-06   478: -1.84814e-06   479: 3.69629e-06   480: 1.84814e-06   483: 8.47033e-22   484: 1.08826e-05   643: 5.71747e-21   671: -6.03511e-21\n",
      "Row 485:   53: -0.000196445   72: -0.000807019   73: -0.000807019   79: -0.000207064   387: 3.27409e-05   388: 4.67727e-06   389: 3.27409e-05   390: 4.67727e-06   485: 0.000134503   486: 3.21873e-20   489: 3.45107e-05   490: -4.9301e-06   493: 3.45107e-05   494: -4.9301e-06   644: -1.87091e-05   682: -1.97204e-05\n",
      "Row 486:   53: -1.00797e-19   72: 0.000134503   73: -0.000134503   79: -1.13502e-19   387: -4.67727e-06   388: -2.33863e-06   389: 4.67727e-06   390: 2.33863e-06   485: 3.21873e-20   486: 1.44111e-05   489: -4.9301e-06   490: 2.46505e-06   493: 4.9301e-06   494: -2.46505e-06   644: -7.41154e-21   682: -8.89385e-21\n",
      "Row 487:   54: -0.000222332   72: -0.000926943   74: -0.000926943   85: -0.00024114   393: 3.70553e-05   394: 5.29361e-06   395: 3.70553e-05   396: 5.29361e-06   487: 0.00015449   488: -1.82112e-20   491: 4.019e-05   492: -5.74142e-06   499: 4.019e-05   500: -5.74142e-06   646: -2.11744e-05   674: -2.29657e-05\n",
      "Row 488:   54: 1.13502e-19   72: 0.00015449   74: -0.00015449   85: -6.77626e-21   393: -5.29361e-06   394: -2.64681e-06   395: 5.29361e-06   396: 2.64681e-06   487: -1.82112e-20   488: 1.65526e-05   491: -5.74142e-06   492: 2.87071e-06   499: 5.74142e-06   500: -2.87071e-06   646: 8.47033e-21   674: -1.05879e-21\n",
      "Row 489:   72: -0.000897882   73: -0.000207064   79: -0.000897882   85: -0.000241877   485: 3.45107e-05   486: -4.9301e-06   489: 0.000149647   490: 1.77877e-20   491: 4.03128e-05   492: -5.75897e-06   493: 3.45107e-05   494: 4.9301e-06   519: 4.03128e-05   520: -5.75897e-06   682: -1.97204e-05   683: -2.30359e-05\n",
      "Row 490:   72: 0.000149647   73: -6.77626e-21   79: -0.000149647   85: -1.32137e-19   485: -4.9301e-06   486: 2.46505e-06   489: 1.77877e-20   490: 1.60336e-05   491: -5.75897e-06   492: 2.87949e-06   493: 4.9301e-06   494: 2.46505e-06   519: 5.75897e-06   520: -2.87949e-06   682: -1.05879e-21   683: -1.03762e-20\n",
      "Row 491:   72: -0.000966033   74: -0.00024114   79: -0.000241877   85: -0.000966033   487: 4.019e-05   488: -5.74142e-06   489: 4.03128e-05   490: -5.75897e-06   491: 0.000161006   492: 1.90582e-20   499: 4.019e-05   500: 5.74142e-06   519: 4.03128e-05   520: 5.75897e-06   674: -2.29657e-05   683: -2.30359e-05\n",
      "Row 492:   72: 0.000161006   74: -1.33831e-19   79: -6.77626e-21   85: -0.000161006   487: -5.74142e-06   488: 2.87071e-06   489: -5.75897e-06   490: 2.87949e-06   491: 1.90582e-20   492: 1.72506e-05   499: 5.74142e-06   500: 2.87071e-06   519: 5.75897e-06   520: 2.87949e-06   674: -1.02703e-20   683: -1.05879e-21\n",
      "Row 493:   70: -0.000198256   72: -0.000207064   73: -0.000810641   79: -0.000810641   479: 3.30427e-05   480: 4.72038e-06   481: 3.30427e-05   482: 4.72038e-06   485: 3.45107e-05   486: 4.9301e-06   489: 3.45107e-05   490: 4.9301e-06   493: 0.000135107   494: -1.69407e-21   677: -1.88815e-05   682: -1.97204e-05\n",
      "Row 494:   70: -1.03338e-19   72: 1.04185e-19   73: 0.000135107   79: -0.000135107   479: -4.72038e-06   480: -2.36019e-06   481: 4.72038e-06   482: 2.36019e-06   485: -4.9301e-06   486: -2.46505e-06   489: 4.9301e-06   490: 2.46505e-06   493: -1.69407e-21   494: 1.44757e-05   677: -7.72918e-21   682: 8.15269e-21\n",
      "Row 495:   55: -0.000207576   74: -0.00089519   75: -0.00089519   84: -0.000240019   399: 3.45961e-05   400: 4.9423e-06   401: 3.45961e-05   402: 4.9423e-06   495: 0.000149198   496: -1.60936e-20   497: 4.00031e-05   498: -5.71473e-06   501: 4.00031e-05   502: -5.71473e-06   648: -1.97692e-05   672: -2.28589e-05\n",
      "Row 496:   55: 1.05879e-19   74: 0.000149198   75: -0.000149198   84: -8.47033e-21   399: -4.9423e-06   400: -2.47115e-06   401: 4.9423e-06   402: 2.47115e-06   495: -1.60936e-20   496: 1.59855e-05   497: -5.71473e-06   498: 2.85736e-06   501: 5.71473e-06   502: -2.85736e-06   648: 7.83505e-21   672: -1.05879e-21\n",
      "Row 497:   74: -0.00106523   75: -0.000240019   84: -0.00106523   85: -0.000292598   495: 4.00031e-05   496: -5.71473e-06   497: 0.000177539   498: 1.77877e-20   499: 4.87664e-05   500: -6.96663e-06   501: 4.00031e-05   502: 5.71473e-06   541: 4.87664e-05   542: -6.96663e-06   672: -2.28589e-05   681: -2.78665e-05\n",
      "Row 498:   74: 0.000177539   75: -1.32137e-19   84: -0.000177539   85: -6.77626e-21   495: -5.71473e-06   496: 2.85736e-06   497: 1.77877e-20   498: 1.9022e-05   499: -6.96663e-06   500: 3.48331e-06   501: 5.71473e-06   502: 2.85736e-06   541: 6.96663e-06   542: -3.48331e-06   672: -1.03762e-20   681: -1.27055e-21\n",
      "Row 499:   72: -0.00024114   74: -0.00106748   84: -0.000292598   85: -0.00106748   487: 4.019e-05   488: 5.74142e-06   491: 4.019e-05   492: 5.74142e-06   497: 4.87664e-05   498: -6.96663e-06   499: 0.000177913   500: 4.23516e-20   541: 4.87664e-05   542: 6.96663e-06   674: -2.29657e-05   681: -2.78665e-05\n",
      "Row 500:   72: -1.23667e-19   74: 0.000177913   84: -1.60936e-19   85: -0.000177913   487: -5.74142e-06   488: -2.87071e-06   491: 5.74142e-06   492: 2.87071e-06   497: -6.96663e-06   498: 3.48331e-06   499: 4.23516e-20   500: 1.90621e-05   541: 6.96663e-06   542: 3.48331e-06   674: -9.1056e-21   681: -1.24937e-20\n",
      "Row 501:   58: -0.000252954   74: -0.000240019   75: -0.000985945   84: -0.000985945   415: 4.2159e-05   416: 6.02271e-06   417: 4.2159e-05   418: 6.02271e-06   495: 4.00031e-05   496: 5.71473e-06   497: 4.00031e-05   498: 5.71473e-06   501: 0.000164324   502: -3.38813e-21   669: -2.40909e-05   672: -2.28589e-05\n",
      "Row 502:   58: 1.30443e-19   74: -1.21973e-19   75: 0.000164324   84: -0.000164324   415: -6.02271e-06   416: -3.01136e-06   417: 6.02271e-06   418: 3.01136e-06   495: -5.71473e-06   496: -2.85736e-06   497: 5.71473e-06   498: 2.85736e-06   501: -3.38813e-21   502: 1.76062e-05   669: 1.01644e-20   672: -9.95264e-21\n",
      "Row 503:   57: -0.000228238   76: -0.000964097   83: -0.000964097   86: -0.000253811   409: 3.80396e-05   410: 5.43423e-06   411: 3.80396e-05   412: 5.43423e-06   503: 0.000160683   504: 3.72694e-20   505: 4.23019e-05   506: -6.04312e-06   537: 4.23019e-05   538: -6.04312e-06   667: -2.17369e-05   676: -2.41725e-05\n",
      "Row 504:   57: -1.13502e-19   76: 0.000160683   83: -0.000160683   86: -1.38913e-19   409: -5.43423e-06   410: -2.71711e-06   411: 5.43423e-06   412: 2.71711e-06   503: 3.72694e-20   504: 1.7216e-05   505: -6.04312e-06   506: 3.02156e-06   537: 6.04312e-06   538: -3.02156e-06   667: -8.78797e-21   676: -1.10114e-20\n",
      "Row 505:   59: -0.000266271   76: -0.00104016   83: -0.000253811   86: -0.00104016   421: 4.43785e-05   422: 6.33979e-06   425: 4.43785e-05   426: 6.33979e-06   503: 4.23019e-05   504: -6.04312e-06   505: 0.000173361   506: -1.90582e-20   537: 4.23019e-05   538: 6.04312e-06   675: -2.53592e-05   676: -2.41725e-05\n",
      "Row 506:   59: 1.35525e-19   76: 0.000173361   83: -6.77626e-21   86: -0.000173361   421: -6.33979e-06   422: -3.1699e-06   425: 6.33979e-06   426: 3.1699e-06   503: -6.04312e-06   504: 3.02156e-06   505: -1.90582e-20   506: 1.85744e-05   537: 6.04312e-06   538: 3.02156e-06   675: 1.05879e-20   676: -1.27055e-21\n",
      "Row 507:   62: -0.000242943   77: -0.00108609   78: -0.00108609   86: -0.000300104   439: 4.04905e-05   440: 5.78436e-06   441: 4.04905e-05   442: 5.78436e-06   507: 0.000181016   508: -1.77877e-20   509: 5.00173e-05   510: -7.14533e-06   513: 5.00173e-05   514: -7.14533e-06   684: -2.31374e-05   685: -2.85813e-05\n",
      "Row 508:   62: 1.23667e-19   77: 0.000181016   78: -0.000181016   86: -1.01644e-20   439: -5.78436e-06   440: -2.89218e-06   441: 5.78436e-06   442: 2.89218e-06   507: -1.77877e-20   508: 1.93945e-05   509: -7.14533e-06   510: 3.57267e-06   513: 7.14533e-06   514: -3.57267e-06   684: 9.74088e-21   685: -1.27055e-21\n",
      "Row 509:   59: -0.000287587   77: -0.00117538   78: -0.000300104   86: -0.00117538   423: 4.79311e-05   424: 6.8473e-06   425: 4.79311e-05   426: 6.8473e-06   507: 5.00173e-05   508: -7.14533e-06   509: 0.000195897   510: 4.48927e-20   513: 5.00173e-05   514: 7.14533e-06   679: -2.73892e-05   685: -2.85813e-05\n",
      "Row 510:   59: -1.4569e-19   77: 0.000195897   78: -1.6263e-19   86: -0.000195897   423: -6.8473e-06   424: -3.42365e-06   425: 6.8473e-06   426: 3.42365e-06   507: -7.14533e-06   508: 3.57267e-06   509: 4.48927e-20   510: 2.09889e-05   513: 7.14533e-06   514: 3.57267e-06   679: -1.12232e-20   685: -1.24937e-20\n",
      "Row 511:   64: -0.00024878   78: -0.000950107   82: -0.000950107   88: -0.000226274   447: 4.14633e-05   448: 5.92333e-06   449: 4.14633e-05   450: 5.92333e-06   511: 0.000158351   512: -1.99053e-20   515: 3.77123e-05   516: -5.38747e-06   533: 3.77123e-05   534: -5.38747e-06   666: -2.36933e-05   694: -2.15499e-05\n",
      "Row 512:   64: 1.28749e-19   78: 0.000158351   82: -0.000158351   88: -6.77626e-21   447: -5.92333e-06   448: -2.96167e-06   449: 5.92333e-06   450: 2.96167e-06   511: -1.99053e-20   512: 1.69662e-05   515: -5.38747e-06   516: 2.69374e-06   533: 5.38747e-06   534: -2.69374e-06   666: 9.635e-21   694: -1.05879e-21\n",
      "Row 513:   77: -0.000300104   78: -0.00109497   86: -0.00109497   88: -0.000247382   507: 5.00173e-05   508: 7.14533e-06   509: 5.00173e-05   510: 7.14533e-06   513: 0.000182495   514: 4.15046e-20   515: 4.12303e-05   516: -5.89005e-06   549: 4.12303e-05   550: -5.89005e-06   685: -2.85813e-05   688: -2.35602e-05\n",
      "Row 514:   77: -1.57548e-19   78: 0.000182495   86: -0.000182495   88: -1.35525e-19   507: -7.14533e-06   508: -3.57267e-06   509: 7.14533e-06   510: 3.57267e-06   513: 4.15046e-20   514: 1.95531e-05   515: -5.89005e-06   516: 2.94502e-06   549: 5.89005e-06   550: -2.94502e-06   685: -1.2282e-20   688: -1.07997e-20\n",
      "Row 515:   78: -0.000947312   82: -0.000226274   86: -0.000247382   88: -0.000947312   511: 3.77123e-05   512: -5.38747e-06   513: 4.12303e-05   514: -5.89005e-06   515: 0.000157885   516: 1.77877e-20   533: 3.77123e-05   534: 5.38747e-06   549: 4.12303e-05   550: 5.89005e-06   688: -2.35602e-05   694: -2.15499e-05\n",
      "Row 516:   78: 0.000157885   82: -1.23667e-19   86: -6.77626e-21   88: -0.000157885   511: -5.38747e-06   512: 2.69374e-06   513: -5.89005e-06   514: 2.94502e-06   515: 1.77877e-20   516: 1.69163e-05   533: 5.38747e-06   534: 2.69374e-06   549: 5.89005e-06   550: 2.94502e-06   688: -1.27055e-21   694: -9.74088e-21\n",
      "Row 517:   69: -0.000240057   79: -0.000990147   80: -0.000990147   85: -0.000255016   473: 4.00095e-05   474: 5.71565e-06   475: 4.00095e-05   476: 5.71565e-06   517: 0.000165025   518: 3.81165e-20   519: 4.25027e-05   520: -6.07182e-06   523: 4.25027e-05   524: -6.07182e-06   662: -2.28626e-05   686: -2.42873e-05\n",
      "Row 518:   69: -1.23667e-19   79: 0.000165025   80: -0.000165025   85: -1.38913e-19   473: -5.71565e-06   474: -2.85782e-06   475: 5.71565e-06   476: 2.85782e-06   517: 3.81165e-20   518: 1.76812e-05   519: -6.07182e-06   520: 3.03591e-06   523: 6.07182e-06   524: -3.03591e-06   662: -8.99973e-21   686: -1.12232e-20\n",
      "Row 519:   72: -0.000241877   79: -0.000993786   80: -0.000255016   85: -0.000993786   489: 4.03128e-05   490: 5.75897e-06   491: 4.03128e-05   492: 5.75897e-06   517: 4.25027e-05   518: -6.07182e-06   519: 0.000165631   520: -1.69407e-20   523: 4.25027e-05   524: 6.07182e-06   683: -2.30359e-05   686: -2.42873e-05\n",
      "Row 520:   72: 1.21973e-19   79: 0.000165631   80: -5.0822e-21   85: -0.000165631   489: -5.75897e-06   490: -2.87949e-06   491: 5.75897e-06   492: 2.87949e-06   517: -6.07182e-06   518: 3.03591e-06   519: -1.69407e-20   520: 1.77462e-05   523: 6.07182e-06   524: 3.03591e-06   683: 9.52912e-21   686: -1.27055e-21\n",
      "Row 521:   67: -0.000269953   80: -0.0011689   81: -0.0011689   87: -0.000314499   463: 4.49922e-05   464: 6.42745e-06   465: 4.49922e-05   466: 6.42745e-06   521: 0.000194817   522: 4.48927e-20   525: 5.24165e-05   526: -7.48807e-06   529: 5.24165e-05   530: -7.48807e-06   664: -2.57098e-05   689: -2.99523e-05\n",
      "Row 522:   67: -1.37219e-19   80: 0.000194817   81: -0.000194817   87: -1.72795e-19   463: -6.42745e-06   464: -3.21373e-06   465: 6.42745e-06   466: 3.21373e-06   521: 4.48927e-20   522: 2.08733e-05   525: -7.48807e-06   526: 3.74404e-06   529: 7.48807e-06   530: -3.74404e-06   664: -1.05879e-20   689: -1.35525e-20\n",
      "Row 523:   79: -0.000255016   80: -0.00112833   85: -0.00112833   87: -0.00030915   517: 4.25027e-05   518: 6.07182e-06   519: 4.25027e-05   520: 6.07182e-06   523: 0.000188056   524: -1.77877e-20   525: 5.15251e-05   526: -7.36072e-06   545: 5.15251e-05   546: -7.36072e-06   686: -2.42873e-05   687: -2.94429e-05\n",
      "Row 524:   79: 1.27055e-19   80: 0.000188056   85: -0.000188056   87: -1.35525e-20   517: -6.07182e-06   518: -3.03591e-06   519: 6.07182e-06   520: 3.03591e-06   523: -1.77877e-20   524: 2.01488e-05   525: -7.36072e-06   526: 3.68036e-06   545: 7.36072e-06   546: -3.68036e-06   686: 1.03762e-20   687: -1.69407e-21\n",
      "Row 525:   80: -0.0012473   81: -0.000314499   85: -0.00030915   87: -0.0012473   521: 5.24165e-05   522: -7.48807e-06   523: 5.15251e-05   524: -7.36072e-06   525: 0.000207883   526: 2.37169e-20   529: 5.24165e-05   530: 7.48807e-06   545: 5.15251e-05   546: 7.36072e-06   687: -2.94429e-05   689: -2.99523e-05\n",
      "Row 526:   80: 0.000207883   81: -6.77626e-21   85: -1.69407e-19   87: -0.000207883   521: -7.48807e-06   522: 3.74404e-06   523: -7.36072e-06   524: 3.68036e-06   525: 2.37169e-20   526: 2.22732e-05   529: 7.48807e-06   530: 3.74404e-06   545: 7.36072e-06   546: 3.68036e-06   687: -1.3129e-20   689: -1.27055e-21\n",
      "Row 527:   68: -0.000309622   81: -0.0010875   82: -0.0010875   88: -0.00023413   467: 5.16036e-05   468: 7.37194e-06   469: 5.16036e-05   470: 7.37194e-06   527: 0.00018125   528: 3.81165e-20   531: 3.90216e-05   532: -5.57452e-06   533: 3.90216e-05   534: -5.57452e-06   680: -2.94878e-05   691: -2.22981e-05\n",
      "Row 528:   68: -1.60936e-19   81: 0.00018125   82: -0.00018125   88: -1.28749e-19   467: -7.37194e-06   468: -3.68597e-06   469: 7.37194e-06   470: 3.68597e-06   527: 3.81165e-20   528: 1.94197e-05   531: -5.57452e-06   532: 2.78726e-06   533: 5.57452e-06   534: -2.78726e-06   680: -1.16467e-20   691: -1.02703e-20\n",
      "Row 529:   80: -0.000314499   81: -0.00116693   87: -0.00116693   88: -0.000268968   521: 5.24165e-05   522: 7.48807e-06   525: 5.24165e-05   526: 7.48807e-06   529: 0.000194489   530: -2.24464e-20   531: 4.48279e-05   532: -6.40399e-06   551: 4.48279e-05   552: -6.40399e-06   689: -2.99523e-05   695: -2.5616e-05\n",
      "Row 530:   80: 1.60936e-19   81: 0.000194489   87: -0.000194489   88: -6.77626e-21   521: -7.48807e-06   522: -3.74404e-06   525: 7.48807e-06   526: 3.74404e-06   529: -2.24464e-20   530: 2.08381e-05   531: -6.40399e-06   532: 3.20199e-06   551: 6.40399e-06   552: -3.20199e-06   689: 1.18585e-20   695: -8.47033e-22\n",
      "Row 531:   81: -0.00100619   82: -0.00023413   87: -0.000268968   88: -0.00100619   527: 3.90216e-05   528: -5.57452e-06   529: 4.48279e-05   530: -6.40399e-06   531: 0.000167699   532: 2.11758e-20   533: 3.90216e-05   534: 5.57452e-06   551: 4.48279e-05   552: 6.40399e-06   691: -2.22981e-05   695: -2.5616e-05\n",
      "Row 532:   81: 0.000167699   82: -1.01644e-20   87: -1.49078e-19   88: -0.000167699   527: -5.57452e-06   528: 2.78726e-06   529: -6.40399e-06   530: 3.20199e-06   531: 2.11758e-20   532: 1.79678e-05   533: 5.57452e-06   534: 2.78726e-06   551: 6.40399e-06   552: 3.20199e-06   691: -1.48231e-21   695: -1.15408e-20\n",
      "Row 533:   78: -0.000226274   81: -0.00023413   82: -0.000920807   88: -0.000920807   511: 3.77123e-05   512: 5.38747e-06   515: 3.77123e-05   516: 5.38747e-06   527: 3.90216e-05   528: 5.57452e-06   531: 3.90216e-05   532: 5.57452e-06   533: 0.000153468   534: -1.69407e-21   691: -2.22981e-05   694: -2.15499e-05\n",
      "Row 534:   78: -1.16891e-19   81: 1.21973e-19   82: 0.000153468   88: -0.000153468   511: -5.38747e-06   512: -2.69374e-06   515: 5.38747e-06   516: 2.69374e-06   527: -5.57452e-06   528: -2.78726e-06   531: 5.57452e-06   532: 2.78726e-06   533: -1.69407e-21   534: 1.6443e-05   691: 9.1056e-21   694: -8.89385e-21\n",
      "Row 535:   57: -0.000261009   83: -0.00111261   84: -0.00111261   87: -0.000295294   411: 4.35014e-05   412: 6.21449e-06   413: 4.35014e-05   414: 6.21449e-06   535: 0.000185434   536: 4.31987e-20   539: 4.92157e-05   540: -7.03081e-06   543: 4.92157e-05   544: -7.03081e-06   670: -2.4858e-05   693: -2.81232e-05\n",
      "Row 536:   57: -1.33831e-19   83: 0.000185434   84: -0.000185434   87: -1.6263e-19   411: -6.21449e-06   412: -3.10725e-06   413: 6.21449e-06   414: 3.10725e-06   535: 4.31987e-20   536: 1.9868e-05   539: -7.03081e-06   540: 3.51541e-06   543: 7.03081e-06   544: -3.51541e-06   670: -1.01644e-20   693: -1.2282e-20\n",
      "Row 537:   76: -0.000253811   83: -0.00111119   86: -0.00111119   87: -0.000301782   503: 4.23019e-05   504: 6.04312e-06   505: 4.23019e-05   506: 6.04312e-06   537: 0.000185198   538: -1.94818e-20   539: 5.0297e-05   540: -7.18529e-06   547: 5.0297e-05   548: -7.18529e-06   676: -2.41725e-05   692: -2.87412e-05\n",
      "Row 538:   76: 1.30443e-19   83: 0.000185198   86: -0.000185198   87: -1.01644e-20   503: -6.04312e-06   504: -3.02156e-06   505: 6.04312e-06   506: 3.02156e-06   537: -1.94818e-20   538: 1.98426e-05   539: -7.18529e-06   540: 3.59264e-06   547: 7.18529e-06   548: -3.59264e-06   676: 1.00585e-20   692: -8.47033e-22\n",
      "Row 539:   83: -0.00119415   84: -0.000295294   86: -0.000301782   87: -0.00119415   535: 4.92157e-05   536: -7.03081e-06   537: 5.0297e-05   538: -7.18529e-06   539: 0.000199025   540: 2.28699e-20   543: 4.92157e-05   544: 7.03081e-06   547: 5.0297e-05   548: 7.18529e-06   692: -2.87412e-05   693: -2.81232e-05\n",
      "Row 540:   83: 0.000199025   84: -6.77626e-21   86: -1.6263e-19   87: -0.000199025   535: -7.03081e-06   536: 3.51541e-06   537: -7.18529e-06   538: 3.59264e-06   539: 2.28699e-20   540: 2.13242e-05   543: 7.03081e-06   544: 3.51541e-06   547: 7.18529e-06   548: 3.59264e-06   692: -1.27055e-20   693: -1.27055e-21\n",
      "Row 541:   74: -0.000292598   84: -0.00127967   85: -0.00127967   87: -0.000347239   497: 4.87664e-05   498: 6.96663e-06   499: 4.87664e-05   500: 6.96663e-06   541: 0.000213279   542: 4.82809e-20   543: 5.78732e-05   544: -8.2676e-06   545: 5.78732e-05   546: -8.2676e-06   681: -2.78665e-05   690: -3.30704e-05\n",
      "Row 542:   74: -1.52466e-19   84: 0.000213279   85: -0.000213279   87: -1.86347e-19   497: -6.96663e-06   498: -3.48331e-06   499: 6.96663e-06   500: 3.48331e-06   541: 4.82809e-20   542: 2.28513e-05   543: -8.2676e-06   544: 4.1338e-06   545: 8.2676e-06   546: -4.1338e-06   681: -1.07997e-20   690: -1.52466e-20\n",
      "Row 543:   83: -0.000295294   84: -0.00128507   85: -0.000347239   87: -0.00128507   535: 4.92157e-05   536: 7.03081e-06   539: 4.92157e-05   540: 7.03081e-06   541: 5.78732e-05   542: -8.2676e-06   543: 0.000214178   544: -2.20229e-20   545: 5.78732e-05   546: 8.2676e-06   690: -3.30704e-05   693: -2.81232e-05\n",
      "Row 544:   83: 1.5416e-19   84: 0.000214178   85: -6.77626e-21   87: -0.000214178   535: -7.03081e-06   536: -3.51541e-06   539: 7.03081e-06   540: 3.51541e-06   541: -8.2676e-06   542: 4.1338e-06   543: -2.20229e-20   544: 2.29476e-05   545: 8.2676e-06   546: 4.1338e-06   690: -2.11758e-21   693: 1.10114e-20\n",
      "Row 545:   80: -0.00030915   84: -0.000347239   85: -0.00131278   87: -0.00131278   523: 5.15251e-05   524: 7.36072e-06   525: 5.15251e-05   526: 7.36072e-06   541: 5.78732e-05   542: 8.2676e-06   543: 5.78732e-05   544: 8.2676e-06   545: 0.000218796   546: -1.69407e-21   687: -2.94429e-05   690: -3.30704e-05\n",
      "Row 546:   80: -1.57548e-19   84: 1.77877e-19   85: 0.000218796   87: -0.000218796   523: -7.36072e-06   524: -3.68036e-06   525: 7.36072e-06   526: 3.68036e-06   541: -8.2676e-06   542: -4.1338e-06   543: 8.2676e-06   544: 4.1338e-06   545: -1.69407e-21   546: 2.34425e-05   687: -1.14349e-20   690: 1.3976e-20\n",
      "Row 547:   83: -0.000301782   86: -0.00118459   87: -0.00118459   88: -0.000290513   537: 5.0297e-05   538: 7.18529e-06   539: 5.0297e-05   540: 7.18529e-06   547: 0.000197432   548: 4.40457e-20   549: 4.84189e-05   550: -6.91698e-06   551: 4.84189e-05   552: -6.91698e-06   692: -2.87412e-05   696: -2.76679e-05\n",
      "Row 548:   83: -1.5416e-19   86: 0.000197432   87: -0.000197432   88: -1.57548e-19   537: -7.18529e-06   538: -3.59264e-06   539: 7.18529e-06   540: 3.59264e-06   547: 4.40457e-20   548: 2.11534e-05   549: -6.91698e-06   550: 3.45849e-06   551: 6.91698e-06   552: -3.45849e-06   692: -1.16467e-20   696: -1.28114e-20\n",
      "Row 549:   78: -0.000247382   86: -0.00107579   87: -0.000290513   88: -0.00107579   513: 4.12303e-05   514: 5.89005e-06   515: 4.12303e-05   516: 5.89005e-06   547: 4.84189e-05   548: -6.91698e-06   549: 0.000179298   550: -2.11758e-20   551: 4.84189e-05   552: 6.91698e-06   688: -2.35602e-05   696: -2.76679e-05\n",
      "Row 550:   78: 1.25361e-19   86: 0.000179298   87: -6.77626e-21   88: -0.000179298   513: -5.89005e-06   514: -2.94502e-06   515: 5.89005e-06   516: 2.94502e-06   547: -6.91698e-06   548: 3.45849e-06   549: -2.11758e-20   550: 1.92105e-05   551: 6.91698e-06   552: 3.45849e-06   688: 9.84676e-21   696: -1.69407e-21\n",
      "Row 551:   81: -0.000268968   86: -0.000290513   87: -0.00111896   88: -0.00111896   529: 4.48279e-05   530: 6.40399e-06   531: 4.48279e-05   532: 6.40399e-06   547: 4.84189e-05   548: 6.91698e-06   549: 4.84189e-05   550: 6.91698e-06   551: 0.000186494   552: 0   695: -2.5616e-05   696: -2.76679e-05\n",
      "Row 552:   81: -1.37219e-19   86: 1.49078e-19   87: 0.000186494   88: -0.000186494   529: -6.40399e-06   530: -3.20199e-06   531: 6.40399e-06   532: 3.20199e-06   547: -6.91698e-06   548: -3.45849e-06   549: 6.91698e-06   550: 3.45849e-06   551: 0   552: 1.99815e-05   695: -1.03762e-20   696: 1.12232e-20\n",
      "Row 553:   0: 0.000173611   4: 0.000173611   31: 0.000173611   89: -2.48016e-05   90: -1.27055e-21   91: -2.48016e-05   92: -1.11173e-20   111: -2.48016e-05   112: -1.01644e-20   553: 1.24008e-05\n",
      "Row 554:   4: 0.000175252   5: 0.000175252   32: 0.000175252   109: -2.5036e-05   110: -8.47033e-22   113: -2.5036e-05   114: -1.11173e-20   117: -2.5036e-05   118: -9.74088e-21   554: 1.2518e-05\n",
      "Row 555:   5: 0.000166978   6: 0.000166978   33: 0.000166978   115: -2.38539e-05   116: -1.27055e-21   119: -2.38539e-05   120: -1.07997e-20   123: -2.38539e-05   124: -9.635e-21   555: 1.1927e-05\n",
      "Row 556:   5: 0.000186157   32: 0.000186157   33: 0.000186157   117: -2.65939e-05   118: -1.21761e-20   119: -2.65939e-05   120: -1.69407e-21   267: -2.65939e-05   268: 1.12232e-20   556: 1.3297e-05\n",
      "Row 557:   6: 0.000162134   7: 0.000162134   34: 0.000162134   121: -2.31621e-05   122: -1.05879e-21   125: -2.31621e-05   126: -1.0482e-20   129: -2.31621e-05   130: -9.52912e-21   557: 1.1581e-05\n",
      "Row 558:   6: 0.000167132   33: 0.000167132   34: 0.000167132   123: -2.38761e-05   124: -1.07997e-20   125: -2.38761e-05   126: -1.27055e-21   273: -2.38761e-05   274: 9.95264e-21   558: 1.1938e-05\n",
      "Row 559:   7: 0.000154199   8: 0.000154199   35: 0.000154199   127: -2.20285e-05   128: -1.05879e-21   131: -2.20285e-05   132: -9.95264e-21   135: -2.20285e-05   136: -8.89385e-21   559: 1.10142e-05\n",
      "Row 560:   7: 0.000154012   34: 0.000154012   35: 0.000154012   129: -2.20018e-05   130: -9.84676e-21   131: -2.20018e-05   132: -1.27055e-21   279: -2.20018e-05   280: 9.31736e-21   560: 1.10009e-05\n",
      "Row 561:   8: 0.00013813   9: 0.00013813   36: 0.00013813   133: -1.97329e-05   134: -6.35275e-22   137: -1.97329e-05   138: -8.99973e-21   141: -1.97329e-05   142: -8.04681e-21   561: 9.86643e-06\n",
      "Row 562:   8: 0.000133541   35: 0.000133541   36: 0.000133541   135: -1.90772e-05   136: -8.57621e-21   137: -1.90772e-05   138: -1.05879e-21   285: -1.90772e-05   286: 7.83505e-21   562: 9.53862e-06\n",
      "Row 563:   9: 0.000134956   10: 0.000134956   37: 0.000134956   139: -1.92795e-05   140: -8.47033e-22   143: -1.92795e-05   144: -8.68209e-21   145: -1.92795e-05   146: -7.94093e-21   563: 9.63973e-06\n",
      "Row 564:   9: 0.000125223   36: 0.000125223   37: 0.000125223   141: -1.7889e-05   142: -8.15269e-21   143: -1.7889e-05   144: -1.05879e-21   291: -1.7889e-05   292: 7.30566e-21   564: 8.94449e-06\n",
      "Row 565:   1: 0.000148738   10: 0.000148738   38: 0.000148738   93: -2.12483e-05   94: -9.74088e-21   97: -2.12483e-05   98: -1.05879e-21   147: -2.12483e-05   148: 8.68209e-21   565: 1.06242e-05\n",
      "Row 566:   10: 0.000127373   37: 0.000127373   38: 0.000127373   145: -1.81961e-05   146: -8.04681e-21   147: -1.81961e-05   148: -6.35275e-22   297: -1.81961e-05   298: 7.41154e-21   566: 9.09805e-06\n",
      "Row 567:   1: 0.000143591   11: 0.000143591   38: 0.000143591   95: -2.05131e-05   96: -8.47033e-22   97: -2.05131e-05   98: -9.21148e-21   151: -2.05131e-05   152: -8.47033e-21   567: 1.02565e-05\n",
      "Row 568:   11: 0.000126005   12: 0.000126005   39: 0.000126005   149: -1.80007e-05   150: -8.47033e-22   153: -1.80007e-05   154: -8.04681e-21   157: -1.80007e-05   158: -7.19978e-21   568: 9.00034e-06\n",
      "Row 569:   11: 0.000126364   38: 0.000126364   39: 0.000126364   151: -1.8052e-05   152: -8.15269e-21   153: -1.8052e-05   154: -8.47033e-22   303: -1.8052e-05   304: 7.30566e-21   569: 9.02601e-06\n",
      "Row 570:   12: 0.000125488   13: 0.000125488   40: 0.000125488   155: -1.79268e-05   156: -6.35275e-22   159: -1.79268e-05   160: -8.04681e-21   163: -1.79268e-05   164: -7.41154e-21   570: 8.96342e-06\n",
      "Row 571:   12: 0.000118027   39: 0.000118027   40: 0.000118027   157: -1.6861e-05   158: -7.41154e-21   159: -1.6861e-05   160: -8.47033e-22   307: -1.6861e-05   308: 6.98802e-21   571: 8.43051e-06\n",
      "Row 572:   13: 0.000140372   14: 0.000140372   41: 0.000140372   161: -2.00532e-05   162: -8.47033e-22   165: -2.00532e-05   166: -9.1056e-21   169: -2.00532e-05   170: -8.47033e-21   572: 1.00266e-05\n",
      "Row 573:   13: 0.000123086   40: 0.000123086   41: 0.000123086   163: -1.75838e-05   164: -7.94093e-21   165: -1.75838e-05   166: -1.05879e-21   313: -1.75838e-05   314: 7.19978e-21   573: 8.79188e-06\n",
      "Row 574:   14: 0.000149842   15: 0.000149842   42: 0.000149842   167: -2.1406e-05   168: -1.05879e-21   171: -2.1406e-05   172: -9.52912e-21   175: -2.1406e-05   176: -8.57621e-21   574: 1.0703e-05\n",
      "Row 575:   14: 0.000142128   41: 0.000142128   42: 0.000142128   169: -2.0304e-05   170: -9.1056e-21   171: -2.0304e-05   172: -1.27055e-21   319: -2.0304e-05   320: 8.25857e-21   575: 1.0152e-05\n",
      "Row 576:   15: 0.000152645   16: 0.000152645   43: 0.000152645   173: -2.18065e-05   174: -6.35275e-22   177: -2.18065e-05   178: -9.74088e-21   181: -2.18065e-05   182: -8.78797e-21   576: 1.09032e-05\n",
      "Row 577:   15: 0.0001524   42: 0.0001524   43: 0.0001524   175: -2.17714e-05   176: -9.95264e-21   177: -2.17714e-05   178: -1.05879e-21   325: -2.17714e-05   326: 9.1056e-21   577: 1.08857e-05\n",
      "Row 578:   16: 0.000145909   17: 0.000145909   44: 0.000145909   179: -2.08441e-05   180: -8.47033e-22   183: -2.08441e-05   184: -9.31736e-21   187: -2.08441e-05   188: -8.57621e-21   578: 1.04221e-05\n",
      "Row 579:   16: 0.000155026   43: 0.000155026   44: 0.000155026   181: -2.21466e-05   182: -1.00585e-20   183: -2.21466e-05   184: -1.27055e-21   331: -2.21466e-05   332: 9.1056e-21   579: 1.10733e-05\n",
      "Row 580:   2: 0.000173611   17: 0.000173611   18: 0.000173611   99: -2.48016e-05   100: -1.13291e-20   101: -2.48016e-05   102: -1.27055e-21   185: -2.48016e-05   186: 1.03762e-20   580: 1.24008e-05\n",
      "Row 581:   18: 0.000139528   19: 0.000139528   45: 0.000139528   189: -1.99326e-05   190: -8.47033e-22   193: -1.99326e-05   194: -8.99973e-21   197: -1.99326e-05   198: -8.04681e-21   581: 9.96628e-06\n",
      "Row 582:   19: 0.000164791   20: 0.000164791   46: 0.000164791   195: -2.35415e-05   196: -1.05879e-21   199: -2.35415e-05   200: -1.06938e-20   203: -2.35415e-05   204: -9.95264e-21   582: 1.17708e-05\n",
      "Row 583:   19: 0.000132562   45: 0.000132562   46: 0.000132562   197: -1.89375e-05   198: -8.68209e-21   199: -1.89375e-05   200: -1.05879e-21   341: -1.89375e-05   342: 8.04681e-21   583: 9.46874e-06\n",
      "Row 584:   20: 0.000172479   21: 0.000172479   47: 0.000172479   201: -2.46398e-05   202: -8.47033e-22   205: -2.46398e-05   206: -1.09055e-20   209: -2.46398e-05   210: -9.95264e-21   584: 1.23199e-05\n",
      "Row 585:   20: 0.000165252   46: 0.000165252   47: 0.000165252   203: -2.36075e-05   204: -1.06938e-20   205: -2.36075e-05   206: -1.05879e-21   345: -2.36075e-05   346: 9.52912e-21   585: 1.18037e-05\n",
      "Row 586:   21: 0.000162037   22: 0.000162037   48: 0.000162037   207: -2.31482e-05   208: -1.05879e-21   211: -2.31482e-05   212: -1.05879e-20   215: -2.31482e-05   216: -9.42324e-21   586: 1.15741e-05\n",
      "Row 587:   21: 0.000166065   47: 0.000166065   48: 0.000166065   209: -2.37235e-05   210: -1.10114e-20   211: -2.37235e-05   212: -1.27055e-21   351: -2.37235e-05   352: 9.84676e-21   587: 1.18618e-05\n",
      "Row 588:   22: 0.000147287   23: 0.000147287   49: 0.000147287   213: -2.1041e-05   214: -1.05879e-21   217: -2.1041e-05   218: -9.21148e-21   221: -2.1041e-05   222: -8.36445e-21   588: 1.05205e-05\n",
      "Row 589:   22: 0.000146819   48: 0.000146819   49: 0.000146819   215: -2.09742e-05   216: -9.52912e-21   217: -2.09742e-05   218: -1.27055e-21   357: -2.09742e-05   358: 8.89385e-21   589: 1.04871e-05\n",
      "Row 590:   23: 0.000131583   24: 0.000131583   50: 0.000131583   219: -1.87975e-05   220: -8.47033e-22   223: -1.87975e-05   224: -8.36445e-21   225: -1.87975e-05   226: -7.72918e-21   590: 9.39877e-06\n",
      "Row 591:   23: 0.000125362   49: 0.000125362   50: 0.000125362   221: -1.79088e-05   222: -8.25857e-21   223: -1.79088e-05   224: -8.47033e-22   363: -1.79088e-05   364: 7.0939e-21   591: 8.95439e-06\n",
      "Row 592:   3: 0.000140428   24: 0.000140428   51: 0.000140428   103: -2.00611e-05   104: -8.89385e-21   107: -2.00611e-05   108: -8.47033e-22   227: -2.00611e-05   228: 8.15269e-21   592: 1.00306e-05\n",
      "Row 593:   24: 0.000123606   50: 0.000123606   51: 0.000123606   225: -1.7658e-05   226: -8.15269e-21   227: -1.7658e-05   228: -1.05879e-21   369: -1.7658e-05   370: 7.41154e-21   593: 8.82902e-06\n",
      "Row 594:   3: 0.000136251   25: 0.000136251   51: 0.000136251   105: -1.94644e-05   106: -8.47033e-22   107: -1.94644e-05   108: -8.99973e-21   231: -1.94644e-05   232: -8.15269e-21   594: 9.7322e-06\n",
      "Row 595:   25: 0.000123156   26: 0.000123156   52: 0.000123156   229: -1.75938e-05   230: -8.47033e-22   233: -1.75938e-05   234: -7.83505e-21   237: -1.75938e-05   238: -7.41154e-21   595: 8.79688e-06\n",
      "Row 596:   25: 0.00012167   51: 0.00012167   52: 0.00012167   231: -1.73815e-05   232: -7.94093e-21   233: -1.73815e-05   234: -8.47033e-22   375: -1.73815e-05   376: 7.41154e-21   596: 8.69073e-06\n",
      "Row 597:   26: 0.000135166   27: 0.000135166   53: 0.000135166   235: -1.93094e-05   236: -8.47033e-22   239: -1.93094e-05   240: -8.57621e-21   243: -1.93094e-05   244: -7.83505e-21   597: 9.6547e-06\n",
      "Row 598:   26: 0.000118673   52: 0.000118673   53: 0.000118673   237: -1.69533e-05   238: -7.94093e-21   239: -1.69533e-05   240: -1.05879e-21   379: -1.69533e-05   380: 6.98802e-21   598: 8.47664e-06\n",
      "Row 599:   27: 0.00014413   28: 0.00014413   54: 0.00014413   241: -2.05901e-05   242: -6.35275e-22   245: -2.05901e-05   246: -9.1056e-21   249: -2.05901e-05   250: -8.47033e-21   599: 1.0295e-05\n",
      "Row 600:   27: 0.000134987   53: 0.000134987   54: 0.000134987   243: -1.92839e-05   244: -8.89385e-21   245: -1.92839e-05   246: -1.05879e-21   385: -1.92839e-05   386: 7.83505e-21   600: 9.64195e-06\n",
      "Row 601:   28: 0.000143966   29: 0.000143966   55: 0.000143966   247: -2.05666e-05   248: -6.35275e-22   251: -2.05666e-05   252: -9.1056e-21   255: -2.05666e-05   256: -8.47033e-21   601: 1.02833e-05\n",
      "Row 602:   28: 0.000145831   54: 0.000145831   55: 0.000145831   249: -2.0833e-05   250: -9.74088e-21   251: -2.0833e-05   252: -1.27055e-21   391: -2.0833e-05   392: 8.78797e-21   602: 1.04165e-05\n",
      "Row 603:   29: 0.000155554   30: 0.000155554   56: 0.000155554   253: -2.2222e-05   254: -1.05879e-21   257: -2.2222e-05   258: -9.95264e-21   261: -2.2222e-05   262: -9.31736e-21   603: 1.1111e-05\n",
      "Row 604:   29: 0.000182252   55: 0.000182252   56: 0.000182252   255: -2.6036e-05   256: -1.18585e-20   257: -2.6036e-05   258: -1.27055e-21   397: -2.6036e-05   398: 1.05879e-20   604: 1.3018e-05\n",
      "Row 605:   30: 0.000155554   31: 0.000155554   56: 0.000155554   259: -2.2222e-05   260: -8.47033e-22   261: -2.2222e-05   262: -9.84676e-21   265: -2.2222e-05   266: -8.99973e-21   605: 1.1111e-05\n",
      "Row 606:   4: 0.000240118   31: 0.000240118   32: 0.000240118   111: -3.43026e-05   112: -1.52466e-20   113: -3.43026e-05   114: -2.11758e-21   263: -3.43026e-05   264: 1.3976e-20   606: 1.71513e-05\n",
      "Row 607:   17: 0.000203881   18: 0.000203881   44: 0.000203881   185: -2.91259e-05   186: -1.27055e-21   187: -2.91259e-05   188: -1.3129e-20   191: -2.91259e-05   192: -1.18585e-20   607: 1.4563e-05\n",
      "Row 608:   18: 0.000161053   44: 0.000161053   45: 0.000161053   191: -2.30075e-05   192: -1.06938e-20   193: -2.30075e-05   194: -1.27055e-21   337: -2.30075e-05   338: 9.31736e-21   608: 1.15038e-05\n",
      "Row 609:   31: 0.000265149   32: 0.000265149   56: 0.000265149   263: -3.78784e-05   264: -1.27055e-21   265: -3.78784e-05   266: -1.67289e-20   269: -3.78784e-05   270: -1.56701e-20   609: 1.89392e-05\n",
      "Row 610:   33: 0.000169914   34: 0.000169914   57: 0.000169914   273: -2.42734e-05   274: -1.05879e-21   275: -2.42734e-05   276: -1.07997e-20   281: -2.42734e-05   282: -9.31736e-21   610: 1.21367e-05\n",
      "Row 611:   32: 0.000184299   33: 0.000184299   58: 0.000184299   267: -2.63284e-05   268: -1.27055e-21   271: -2.63284e-05   272: -1.17526e-20   277: -2.63284e-05   278: -1.07997e-20   611: 1.31642e-05\n",
      "Row 612:   33: 0.000169724   57: 0.000169724   58: 0.000169724   275: -2.42463e-05   276: -1.27055e-21   277: -2.42463e-05   278: -1.06938e-20   407: -2.42463e-05   408: -1.01644e-20   612: 1.21231e-05\n",
      "Row 613:   35: 0.000145613   36: 0.000145613   59: 0.000145613   285: -2.08018e-05   286: -1.05879e-21   287: -2.08018e-05   288: -9.42324e-21   293: -2.08018e-05   294: -8.47033e-21   613: 1.04009e-05\n",
      "Row 614:   36: 0.000111655   37: 0.000111655   60: 0.000111655   291: -1.59507e-05   292: -8.47033e-22   295: -1.59507e-05   296: -6.98802e-21   299: -1.59507e-05   300: -6.24687e-21   614: 7.97535e-06\n",
      "Row 615:   36: 0.000113115   59: 0.000113115   60: 0.000113115   293: -1.61593e-05   294: -7.30566e-21   295: -1.61593e-05   296: -8.47033e-22   419: -1.61593e-05   420: 6.45863e-21   615: 8.07963e-06\n",
      "Row 616:   37: 0.000121462   38: 0.000121462   61: 0.000121462   297: -1.73517e-05   298: -8.47033e-22   301: -1.73517e-05   302: -7.94093e-21   305: -1.73517e-05   306: -7.19978e-21   616: 8.67587e-06\n",
      "Row 617:   37: 0.000101142   60: 0.000101142   61: 0.000101142   299: -1.44489e-05   300: -6.45863e-21   301: -1.44489e-05   302: -8.47033e-22   427: -1.44489e-05   428: 5.71747e-21   617: 7.22443e-06\n",
      "Row 618:   38: 0.000119549   39: 0.000119549   61: 0.000119549   303: -1.70784e-05   304: -8.47033e-22   305: -1.70784e-05   306: -7.72918e-21   309: -1.70784e-05   310: -7.0939e-21   618: 8.53918e-06\n",
      "Row 619:   40: 0.000133716   41: 0.000133716   62: 0.000133716   313: -1.91024e-05   314: -8.47033e-22   315: -1.91024e-05   316: -8.68209e-21   321: -1.91024e-05   322: -7.83505e-21   619: 9.55118e-06\n",
      "Row 620:   39: 0.000107078   40: 0.000107078   63: 0.000107078   307: -1.52969e-05   308: -6.35275e-22   311: -1.52969e-05   312: -6.98802e-21   317: -1.52969e-05   318: -6.35275e-21   620: 7.64844e-06\n",
      "Row 621:   39: 9.88699e-05   61: 9.88699e-05   63: 9.88699e-05   309: -1.41243e-05   310: -6.35275e-21   311: -1.41243e-05   312: -8.47033e-22   431: -1.41243e-05   432: 5.92923e-21   621: 7.06214e-06\n",
      "Row 622:   40: 0.000107213   62: 0.000107213   63: 0.000107213   315: -1.53161e-05   316: -6.35275e-22   317: -1.53161e-05   318: -6.88214e-21   435: -1.53161e-05   436: -6.03511e-21   622: 7.65805e-06\n",
      "Row 623:   41: 0.000147806   42: 0.000147806   64: 0.000147806   319: -2.11152e-05   320: -8.47033e-22   323: -2.11152e-05   324: -9.635e-21   327: -2.11152e-05   328: -8.78797e-21   623: 1.05576e-05\n",
      "Row 624:   41: 0.000140555   62: 0.000140555   64: 0.000140555   321: -2.00793e-05   322: -9.21148e-21   323: -2.00793e-05   324: -1.05879e-21   437: -2.00793e-05   438: 8.25857e-21   624: 1.00396e-05\n",
      "Row 625:   42: 0.000159691   43: 0.000159691   65: 0.000159691   325: -2.2813e-05   326: -1.05879e-21   329: -2.2813e-05   330: -1.01644e-20   333: -2.2813e-05   334: -9.21148e-21   625: 1.14065e-05\n",
      "Row 626:   42: 0.000159403   64: 0.000159403   65: 0.000159403   327: -2.27719e-05   328: -1.03762e-20   329: -2.27719e-05   330: -1.27055e-21   445: -2.27719e-05   446: 9.42324e-21   626: 1.1386e-05\n",
      "Row 627:   43: 0.000161378   44: 0.000161378   66: 0.000161378   331: -2.3054e-05   332: -8.47033e-22   335: -2.3054e-05   336: -1.00585e-20   339: -2.3054e-05   340: -9.31736e-21   627: 1.1527e-05\n",
      "Row 628:   43: 0.000161631   65: 0.000161631   66: 0.000161631   333: -2.30902e-05   334: -1.03762e-20   335: -2.30902e-05   336: -1.27055e-21   451: -2.30902e-05   452: 9.52912e-21   628: 1.15451e-05\n",
      "Row 629:   44: 0.000139044   45: 0.000139044   66: 0.000139044   337: -1.98634e-05   338: -1.05879e-21   339: -1.98634e-05   340: -8.99973e-21   343: -1.98634e-05   344: -8.04681e-21   629: 9.93168e-06\n",
      "Row 630:   47: 0.000172468   48: 0.000172468   67: 0.000172468   351: -2.46382e-05   352: -1.27055e-21   353: -2.46382e-05   354: -1.11173e-20   359: -2.46382e-05   360: -1.01644e-20   630: 1.23191e-05\n",
      "Row 631:   46: 0.000196355   47: 0.000196355   68: 0.000196355   345: -2.80507e-05   346: -1.27055e-21   349: -2.80507e-05   350: -1.29173e-20   355: -2.80507e-05   356: -1.16467e-20   631: 1.40254e-05\n",
      "Row 632:   47: 0.000206985   67: 0.000206985   68: 0.000206985   353: -2.95693e-05   354: -1.27055e-21   355: -2.95693e-05   356: -1.29173e-20   459: -2.95693e-05   460: -1.24937e-20   632: 1.47847e-05\n",
      "Row 633:   45: 0.000140015   46: 0.000140015   66: 0.000140015   341: -2.00022e-05   342: -8.47033e-22   343: -2.00022e-05   344: -8.99973e-21   347: -2.00022e-05   348: -8.25857e-21   633: 1.00011e-05\n",
      "Row 634:   48: 0.00015302   49: 0.00015302   69: 0.00015302   357: -2.186e-05   358: -1.05879e-21   361: -2.186e-05   362: -9.95264e-21   365: -2.186e-05   366: -9.31736e-21   634: 1.093e-05\n",
      "Row 635:   48: 0.000163952   67: 0.000163952   69: 0.000163952   359: -2.34218e-05   360: -1.09055e-20   361: -2.34218e-05   362: -1.27055e-21   461: -2.34218e-05   462: 9.74088e-21   635: 1.17109e-05\n",
      "Row 636:   49: 0.000129885   50: 0.000129885   70: 0.000129885   363: -1.8555e-05   364: -8.47033e-22   367: -1.8555e-05   368: -8.36445e-21   371: -1.8555e-05   372: -7.72918e-21   636: 9.27752e-06\n",
      "Row 637:   49: 0.000134834   69: 0.000134834   70: 0.000134834   365: -1.9262e-05   366: -8.78797e-21   367: -1.9262e-05   368: -1.05879e-21   471: -1.9262e-05   472: 7.94093e-21   637: 9.63101e-06\n",
      "Row 638:   50: 0.000102279   51: 0.000102279   71: 0.000102279   369: -1.46113e-05   370: -4.23516e-22   373: -1.46113e-05   374: -6.56451e-21   377: -1.46113e-05   378: -6.03511e-21   638: 7.30564e-06\n",
      "Row 639:   50: 0.000101102   70: 0.000101102   71: 0.000101102   371: -1.44431e-05   372: -6.67038e-21   373: -1.44431e-05   374: -6.35275e-22   477: -1.44431e-05   478: 5.71747e-21   639: 7.22156e-06\n",
      "Row 640:   51: 0.000101042   52: 0.000101042   71: 0.000101042   375: -1.44346e-05   376: -1.05879e-21   377: -1.44346e-05   378: -6.35275e-21   381: -1.44346e-05   382: -6.03511e-21   640: 7.21731e-06\n",
      "Row 641:   53: 0.000142698   54: 0.000142698   72: 0.000142698   385: -2.03854e-05   386: -8.47033e-22   387: -2.03854e-05   388: -8.99973e-21   393: -2.03854e-05   394: -8.57621e-21   641: 1.01927e-05\n",
      "Row 642:   52: 0.000125039   53: 0.000125039   73: 0.000125039   379: -1.78627e-05   380: -8.47033e-22   383: -1.78627e-05   384: -7.83505e-21   389: -1.78627e-05   390: -6.98802e-21   642: 8.93136e-06\n",
      "Row 643:   52: 9.96453e-05   71: 9.96453e-05   73: 9.96453e-05   381: -1.4235e-05   382: -6.45863e-21   383: -1.4235e-05   384: -8.47033e-22   483: -1.4235e-05   484: 5.71747e-21   643: 7.11752e-06\n",
      "Row 644:   53: 0.000130963   72: 0.000130963   73: 0.000130963   387: -1.87091e-05   388: -6.35275e-22   389: -1.87091e-05   390: -8.25857e-21   485: -1.87091e-05   486: -7.41154e-21   644: 9.35453e-06\n",
      "Row 645:   54: 0.000154352   55: 0.000154352   74: 0.000154352   391: -2.20502e-05   392: -1.05879e-21   395: -2.20502e-05   396: -9.95264e-21   399: -2.20502e-05   400: -9.21148e-21   645: 1.10251e-05\n",
      "Row 646:   54: 0.000148221   72: 0.000148221   74: 0.000148221   393: -2.11744e-05   394: -9.74088e-21   395: -2.11744e-05   396: -8.47033e-22   487: -2.11744e-05   488: 8.47033e-21   646: 1.05872e-05\n",
      "Row 647:   55: 0.000162895   56: 0.000162895   75: 0.000162895   397: -2.32707e-05   398: -1.05879e-21   401: -2.32707e-05   402: -1.0482e-20   405: -2.32707e-05   406: -9.635e-21   647: 1.16354e-05\n",
      "Row 648:   55: 0.000138384   74: 0.000138384   75: 0.000138384   399: -1.97692e-05   400: -8.78797e-21   401: -1.97692e-05   402: -1.05879e-21   495: -1.97692e-05   496: 7.83505e-21   648: 9.88459e-06\n",
      "Row 649:   34: 0.000158877   35: 0.000158877   76: 0.000158877   279: -2.26967e-05   280: -1.05879e-21   283: -2.26967e-05   284: -1.02703e-20   289: -2.26967e-05   290: -9.1056e-21   649: 1.13483e-05\n",
      "Row 650:   35: 0.000149025   59: 0.000149025   76: 0.000149025   287: -2.12893e-05   288: -1.05879e-21   289: -2.12893e-05   290: -9.52912e-21   421: -2.12893e-05   422: -8.89385e-21   650: 1.06446e-05\n",
      "Row 651:   46: 0.00019394   66: 0.00019394   68: 0.00019394   347: -2.77057e-05   348: -1.28114e-20   349: -2.77057e-05   350: -1.27055e-21   457: -2.77057e-05   458: 1.14349e-20   651: 1.38529e-05\n",
      "Row 652:   34: 0.000165357   57: 0.000165357   76: 0.000165357   281: -2.36224e-05   282: -1.06938e-20   283: -2.36224e-05   284: -1.27055e-21   409: -2.36224e-05   410: 9.74088e-21   652: 1.18112e-05\n",
      "Row 653:   56: 0.000160184   58: 0.000160184   75: 0.000160184   403: -2.28834e-05   404: -1.05879e-21   405: -2.28834e-05   406: -1.03762e-20   415: -2.28834e-05   416: -9.31736e-21   653: 1.14417e-05\n",
      "Row 654:   32: 0.000198379   56: 0.000198379   58: 0.000198379   269: -2.83399e-05   270: -1.29173e-20   271: -2.83399e-05   272: -8.47033e-22   403: -2.83399e-05   404: 1.18585e-20   654: 1.41699e-05\n",
      "Row 655:   60: 0.000119966   61: 0.000119966   77: 0.000119966   427: -1.7138e-05   428: -8.47033e-22   429: -1.7138e-05   430: -7.6233e-21   433: -1.7138e-05   434: -7.19978e-21   655: 8.56902e-06\n",
      "Row 656:   61: 0.000118394   63: 0.000118394   77: 0.000118394   431: -1.69134e-05   432: -6.35275e-22   433: -1.69134e-05   434: -7.30566e-21   443: -1.69134e-05   444: -6.98802e-21   656: 8.4567e-06\n",
      "Row 657:   59: 0.000128677   60: 0.000128677   77: 0.000128677   419: -1.83824e-05   420: -1.05879e-21   423: -1.83824e-05   424: -8.04681e-21   429: -1.83824e-05   430: -7.19978e-21   657: 9.19122e-06\n",
      "Row 658:   65: 0.000190534   66: 0.000190534   68: 0.000190534   451: -2.72191e-05   452: -1.27055e-21   453: -2.72191e-05   454: -1.21761e-20   457: -2.72191e-05   458: -1.10114e-20   658: 1.36095e-05\n",
      "Row 659:   62: 0.000146832   64: 0.000146832   78: 0.000146832   437: -2.09759e-05   438: -8.47033e-22   441: -2.09759e-05   442: -9.635e-21   447: -2.09759e-05   448: -8.47033e-21   659: 1.0488e-05\n",
      "Row 660:   69: 0.000140342   70: 0.000140342   79: 0.000140342   471: -2.00488e-05   472: -1.05879e-21   473: -2.00488e-05   474: -8.99973e-21   481: -2.00488e-05   482: -8.47033e-21   660: 1.00244e-05\n",
      "Row 661:   67: 0.000173594   69: 0.000173594   80: 0.000173594   461: -2.47992e-05   462: -1.27055e-21   463: -2.47992e-05   464: -1.11173e-20   475: -2.47992e-05   476: -1.01644e-20   661: 1.23996e-05\n",
      "Row 662:   69: 0.000160038   79: 0.000160038   80: 0.000160038   473: -2.28626e-05   474: -1.05879e-21   475: -2.28626e-05   476: -1.02703e-20   517: -2.28626e-05   518: -8.99973e-21   662: 1.14313e-05\n",
      "Row 663:   67: 0.000206956   68: 0.000206956   81: 0.000206956   459: -2.95652e-05   460: -1.35525e-20   465: -2.95652e-05   466: -2.11758e-21   467: -2.95652e-05   468: 1.18585e-20   663: 1.47826e-05\n",
      "Row 664:   67: 0.000179969   80: 0.000179969   81: 0.000179969   463: -2.57098e-05   464: -8.47033e-22   465: -2.57098e-05   466: -1.15408e-20   521: -2.57098e-05   522: -1.05879e-20   664: 1.28549e-05\n",
      "Row 665:   64: 0.00016081   65: 0.00016081   82: 0.00016081   445: -2.29729e-05   446: -1.05879e-21   449: -2.29729e-05   450: -1.02703e-20   455: -2.29729e-05   456: -9.1056e-21   665: 1.14864e-05\n",
      "Row 666:   64: 0.000165853   78: 0.000165853   82: 0.000165853   447: -2.36933e-05   448: -1.06938e-20   449: -2.36933e-05   450: -1.27055e-21   511: -2.36933e-05   512: 9.635e-21   666: 1.18467e-05\n",
      "Row 667:   57: 0.000152158   76: 0.000152158   83: 0.000152158   409: -2.17369e-05   410: -8.47033e-22   411: -2.17369e-05   412: -9.74088e-21   503: -2.17369e-05   504: -8.78797e-21   667: 1.08685e-05\n",
      "Row 668:   57: 0.000200909   58: 0.000200909   84: 0.000200909   407: -2.87013e-05   408: -1.29173e-20   413: -2.87013e-05   414: -1.27055e-21   417: -2.87013e-05   418: 1.18585e-20   668: 1.43506e-05\n",
      "Row 669:   58: 0.000168636   75: 0.000168636   84: 0.000168636   415: -2.40909e-05   416: -1.10114e-20   417: -2.40909e-05   418: -1.05879e-21   501: -2.40909e-05   502: 1.01644e-20   669: 1.20454e-05\n",
      "Row 670:   57: 0.000174006   83: 0.000174006   84: 0.000174006   411: -2.4858e-05   412: -1.27055e-21   413: -2.4858e-05   414: -1.12232e-20   535: -2.4858e-05   536: -1.01644e-20   670: 1.2429e-05\n",
      "Row 671:   70: 0.000103496   71: 0.000103496   73: 0.000103496   477: -1.47851e-05   478: -8.47033e-22   479: -1.47851e-05   480: -6.56451e-21   483: -1.47851e-05   484: -6.03511e-21   671: 7.39257e-06\n",
      "Row 672:   74: 0.000160012   75: 0.000160012   84: 0.000160012   495: -2.28589e-05   496: -1.05879e-21   497: -2.28589e-05   498: -1.03762e-20   501: -2.28589e-05   502: -9.95264e-21   672: 1.14295e-05\n",
      "Row 673:   65: 0.000200016   68: 0.000200016   82: 0.000200016   453: -2.85738e-05   454: -1.27055e-21   455: -2.85738e-05   456: -1.24937e-20   469: -2.85738e-05   470: -1.20702e-20   673: 1.42869e-05\n",
      "Row 674:   72: 0.00016076   74: 0.00016076   85: 0.00016076   487: -2.29657e-05   488: -1.05879e-21   491: -2.29657e-05   492: -1.02703e-20   499: -2.29657e-05   500: -9.1056e-21   674: 1.14828e-05\n",
      "Row 675:   59: 0.000177514   76: 0.000177514   86: 0.000177514   421: -2.53592e-05   422: -1.15408e-20   425: -2.53592e-05   426: -1.27055e-21   505: -2.53592e-05   506: 1.05879e-20   675: 1.26796e-05\n",
      "Row 676:   76: 0.000169207   83: 0.000169207   86: 0.000169207   503: -2.41725e-05   504: -1.10114e-20   505: -2.41725e-05   506: -1.27055e-21   537: -2.41725e-05   538: 1.00585e-20   676: 1.20862e-05\n",
      "Row 677:   70: 0.000132171   73: 0.000132171   79: 0.000132171   479: -1.88815e-05   480: -6.35275e-22   481: -1.88815e-05   482: -8.47033e-21   493: -1.88815e-05   494: -7.72918e-21   677: 9.44076e-06\n",
      "Row 678:   62: 0.000126799   63: 0.000126799   77: 0.000126799   435: -1.81141e-05   436: -8.25857e-21   439: -1.81141e-05   440: -8.47033e-22   443: -1.81141e-05   444: 7.41154e-21   678: 9.05704e-06\n",
      "Row 679:   59: 0.000191724   77: 0.000191724   86: 0.000191724   423: -2.73892e-05   424: -1.27055e-21   425: -2.73892e-05   426: -1.24937e-20   509: -2.73892e-05   510: -1.12232e-20   679: 1.36946e-05\n",
      "Row 680:   68: 0.000206414   81: 0.000206414   82: 0.000206414   467: -2.94878e-05   468: -1.69407e-21   469: -2.94878e-05   470: -1.3129e-20   527: -2.94878e-05   528: -1.16467e-20   680: 1.47439e-05\n",
      "Row 681:   74: 0.000195066   84: 0.000195066   85: 0.000195066   497: -2.78665e-05   498: -1.27055e-21   499: -2.78665e-05   500: -1.24937e-20   541: -2.78665e-05   542: -1.07997e-20   681: 1.39333e-05\n",
      "Row 682:   72: 0.000138043   73: 0.000138043   79: 0.000138043   485: -1.97204e-05   486: -8.89385e-21   489: -1.97204e-05   490: -1.05879e-21   493: -1.97204e-05   494: 8.15269e-21   682: 9.86021e-06\n",
      "Row 683:   72: 0.000161251   79: 0.000161251   85: 0.000161251   489: -2.30359e-05   490: -1.03762e-20   491: -2.30359e-05   492: -1.05879e-21   519: -2.30359e-05   520: 9.52912e-21   683: 1.15179e-05\n",
      "Row 684:   62: 0.000161962   77: 0.000161962   78: 0.000161962   439: -2.31374e-05   440: -1.0482e-20   441: -2.31374e-05   442: -1.27055e-21   507: -2.31374e-05   508: 9.74088e-21   684: 1.15687e-05\n",
      "Row 685:   77: 0.000200069   78: 0.000200069   86: 0.000200069   507: -2.85813e-05   508: -1.27055e-21   509: -2.85813e-05   510: -1.24937e-20   513: -2.85813e-05   514: -1.2282e-20   685: 1.42907e-05\n",
      "Row 686:   79: 0.000170011   80: 0.000170011   85: 0.000170011   517: -2.42873e-05   518: -1.12232e-20   519: -2.42873e-05   520: -1.27055e-21   523: -2.42873e-05   524: 1.03762e-20   686: 1.21436e-05\n",
      "Row 687:   80: 0.0002061   85: 0.0002061   87: 0.0002061   523: -2.94429e-05   524: -1.69407e-21   525: -2.94429e-05   526: -1.3129e-20   545: -2.94429e-05   546: -1.14349e-20   687: 1.47214e-05\n",
      "Row 688:   78: 0.000164921   86: 0.000164921   88: 0.000164921   513: -2.35602e-05   514: -1.07997e-20   515: -2.35602e-05   516: -1.27055e-21   549: -2.35602e-05   550: 9.84676e-21   688: 1.17801e-05\n",
      "Row 689:   80: 0.000209666   81: 0.000209666   87: 0.000209666   521: -2.99523e-05   522: -1.35525e-20   525: -2.99523e-05   526: -1.27055e-21   529: -2.99523e-05   530: 1.18585e-20   689: 1.49761e-05\n",
      "Row 690:   84: 0.000231493   85: 0.000231493   87: 0.000231493   541: -3.30704e-05   542: -1.52466e-20   543: -3.30704e-05   544: -2.11758e-21   545: -3.30704e-05   546: 1.3976e-20   690: 1.65352e-05\n",
      "Row 691:   81: 0.000156087   82: 0.000156087   88: 0.000156087   527: -2.22981e-05   528: -1.02703e-20   531: -2.22981e-05   532: -1.48231e-21   533: -2.22981e-05   534: 9.1056e-21   691: 1.1149e-05\n",
      "Row 692:   83: 0.000201188   86: 0.000201188   87: 0.000201188   537: -2.87412e-05   538: -8.47033e-22   539: -2.87412e-05   540: -1.27055e-20   547: -2.87412e-05   548: -1.16467e-20   692: 1.43706e-05\n",
      "Row 693:   83: 0.000196863   84: 0.000196863   87: 0.000196863   535: -2.81232e-05   536: -1.2282e-20   539: -2.81232e-05   540: -1.27055e-21   543: -2.81232e-05   544: 1.10114e-20   693: 1.40616e-05\n",
      "Row 694:   78: 0.000150849   82: 0.000150849   88: 0.000150849   511: -2.15499e-05   512: -1.05879e-21   515: -2.15499e-05   516: -9.74088e-21   533: -2.15499e-05   534: -8.89385e-21   694: 1.07749e-05\n",
      "Row 695:   81: 0.000179312   87: 0.000179312   88: 0.000179312   529: -2.5616e-05   530: -8.47033e-22   531: -2.5616e-05   532: -1.15408e-20   551: -2.5616e-05   552: -1.03762e-20   695: 1.2808e-05\n",
      "Row 696:   86: 0.000193675   87: 0.000193675   88: 0.000193675   547: -2.76679e-05   548: -1.28114e-20   549: -2.76679e-05   550: -1.69407e-21   551: -2.76679e-05   552: 1.12232e-20   696: 1.3834e-05\n",
      "\n"
     ]
    }
   ],
   "source": [
    "mstar = m.mat.CreateMatrix()\n",
    "print(m.mat.nze, a.mat.nze, mstar.nze)\n",
    "print(mstar)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "To access the entries we use the vector of nonzero-entries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11257\n",
      "11257\n"
     ]
    }
   ],
   "source": [
    "print(mstar.nze)\n",
    "print(len(mstar.AsVector()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      " -8.47033e-21\n",
      " 1.00244e-05\n",
      " 0.000173594\n",
      " 0.000173594\n",
      " 0.000173594\n",
      " -2.47992e-05\n",
      " -1.27055e-21\n",
      " -2.47992e-05\n",
      " -1.11173e-20\n",
      " -2.47992e-05\n",
      " -1.01644e-20\n",
      " 1.23996e-05\n",
      " 0.000160038\n",
      " 0.000160038\n",
      " 0.000160038\n",
      " -2.28626e-05\n",
      " -1.05879e-21\n",
      " -2.28626e-05\n",
      " -1.02703e-20\n",
      " -2.28626e-05\n",
      " -8.99973e-21\n",
      " 1.14313e-05\n",
      " 0.000206956\n",
      " 0.000206956\n",
      " 0.000206956\n",
      " -2.95652e-05\n",
      " -1.35525e-20\n",
      " -2.95652e-05\n",
      " -2.11758e-21\n",
      " -2.95652e-05\n",
      " 1.18585e-20\n",
      " 1.47826e-05\n",
      " 0.000179969\n",
      " 0.000179969\n",
      " 0.000179969\n",
      " -2.57098e-05\n",
      " -8.47033e-22\n",
      " -2.57098e-05\n",
      " -1.15408e-20\n",
      " -2.57098e-05\n",
      " -1.05879e-20\n",
      " 1.28549e-05\n",
      " 0.00016081\n",
      " 0.00016081\n",
      " 0.00016081\n",
      " -2.29729e-05\n",
      " -1.05879e-21\n",
      " -2.29729e-05\n",
      " -1.02703e-20\n",
      " -2.29729e-05\n",
      " -9.1056e-21\n",
      " 1.14864e-05\n",
      " 0.000165853\n",
      " 0.000165853\n",
      " 0.000165853\n",
      " -2.36933e-05\n",
      " -1.06938e-20\n",
      " -2.36933e-05\n",
      " -1.27055e-21\n",
      " -2.36933e-05\n",
      " 9.635e-21\n",
      " 1.18467e-05\n",
      " 0.000152158\n",
      " 0.000152158\n",
      " 0.000152158\n",
      " -2.17369e-05\n",
      " -8.47033e-22\n",
      " -2.17369e-05\n",
      " -9.74088e-21\n",
      " -2.17369e-05\n",
      " -8.78797e-21\n",
      " 1.08685e-05\n",
      " 0.000200909\n",
      " 0.000200909\n",
      " 0.000200909\n",
      " -2.87013e-05\n",
      " -1.29173e-20\n",
      " -2.87013e-05\n",
      " -1.27055e-21\n",
      " -2.87013e-05\n",
      " 1.18585e-20\n",
      " 1.43506e-05\n",
      " 0.000168636\n",
      " 0.000168636\n",
      " 0.000168636\n",
      " -2.40909e-05\n",
      " -1.10114e-20\n",
      " -2.40909e-05\n",
      " -1.05879e-21\n",
      " -2.40909e-05\n",
      " 1.01644e-20\n",
      " 1.20454e-05\n",
      " 0.000174006\n",
      " 0.000174006\n",
      " 0.000174006\n",
      " -2.4858e-05\n",
      " -1.27055e-21\n",
      " -2.4858e-05\n",
      " -1.12232e-20\n",
      " -2.4858e-05\n",
      " -1.01644e-20\n",
      " 1.2429e-05\n",
      " 0.000103496\n",
      " 0.000103496\n",
      " 0.000103496\n",
      " -1.47851e-05\n",
      " -8.47033e-22\n",
      " -1.47851e-05\n",
      " -6.56451e-21\n",
      " -1.47851e-05\n",
      " -6.03511e-21\n",
      " 7.39257e-06\n",
      " 0.000160012\n",
      " 0.000160012\n",
      " 0.000160012\n",
      " -2.28589e-05\n",
      " -1.05879e-21\n",
      " -2.28589e-05\n",
      " -1.03762e-20\n",
      " -2.28589e-05\n",
      " -9.95264e-21\n",
      " 1.14295e-05\n",
      " 0.000200016\n",
      " 0.000200016\n",
      " 0.000200016\n",
      " -2.85738e-05\n",
      " -1.27055e-21\n",
      " -2.85738e-05\n",
      " -1.24937e-20\n",
      " -2.85738e-05\n",
      " -1.20702e-20\n",
      " 1.42869e-05\n",
      " 0.00016076\n",
      " 0.00016076\n",
      " 0.00016076\n",
      " -2.29657e-05\n",
      " -1.05879e-21\n",
      " -2.29657e-05\n",
      " -1.02703e-20\n",
      " -2.29657e-05\n",
      " -9.1056e-21\n",
      " 1.14828e-05\n",
      " 0.000177514\n",
      " 0.000177514\n",
      " 0.000177514\n",
      " -2.53592e-05\n",
      " -1.15408e-20\n",
      " -2.53592e-05\n",
      " -1.27055e-21\n",
      " -2.53592e-05\n",
      " 1.05879e-20\n",
      " 1.26796e-05\n",
      " 0.000169207\n",
      " 0.000169207\n",
      " 0.000169207\n",
      " -2.41725e-05\n",
      " -1.10114e-20\n",
      " -2.41725e-05\n",
      " -1.27055e-21\n",
      " -2.41725e-05\n",
      " 1.00585e-20\n",
      " 1.20862e-05\n",
      " 0.000132171\n",
      " 0.000132171\n",
      " 0.000132171\n",
      " -1.88815e-05\n",
      " -6.35275e-22\n",
      " -1.88815e-05\n",
      " -8.47033e-21\n",
      " -1.88815e-05\n",
      " -7.72918e-21\n",
      " 9.44076e-06\n",
      " 0.000126799\n",
      " 0.000126799\n",
      " 0.000126799\n",
      " -1.81141e-05\n",
      " -8.25857e-21\n",
      " -1.81141e-05\n",
      " -8.47033e-22\n",
      " -1.81141e-05\n",
      " 7.41154e-21\n",
      " 9.05704e-06\n",
      " 0.000191724\n",
      " 0.000191724\n",
      " 0.000191724\n",
      " -2.73892e-05\n",
      " -1.27055e-21\n",
      " -2.73892e-05\n",
      " -1.24937e-20\n",
      " -2.73892e-05\n",
      " -1.12232e-20\n",
      " 1.36946e-05\n",
      " 0.000206414\n",
      " 0.000206414\n",
      " 0.000206414\n",
      " -2.94878e-05\n",
      " -1.69407e-21\n",
      " -2.94878e-05\n",
      " -1.3129e-20\n",
      " -2.94878e-05\n",
      " -1.16467e-20\n",
      " 1.47439e-05\n",
      " 0.000195066\n",
      " 0.000195066\n",
      " 0.000195066\n",
      " -2.78665e-05\n",
      " -1.27055e-21\n",
      " -2.78665e-05\n",
      " -1.24937e-20\n",
      " -2.78665e-05\n",
      " -1.07997e-20\n",
      " 1.39333e-05\n",
      " 0.000138043\n",
      " 0.000138043\n",
      " 0.000138043\n",
      " -1.97204e-05\n",
      " -8.89385e-21\n",
      " -1.97204e-05\n",
      " -1.05879e-21\n",
      " -1.97204e-05\n",
      " 8.15269e-21\n",
      " 9.86021e-06\n",
      " 0.000161251\n",
      " 0.000161251\n",
      " 0.000161251\n",
      " -2.30359e-05\n",
      " -1.03762e-20\n",
      " -2.30359e-05\n",
      " -1.05879e-21\n",
      " -2.30359e-05\n",
      " 9.52912e-21\n",
      " 1.15179e-05\n",
      " 0.000161962\n",
      " 0.000161962\n",
      " 0.000161962\n",
      " -2.31374e-05\n",
      " -1.0482e-20\n",
      " -2.31374e-05\n",
      " -1.27055e-21\n",
      " -2.31374e-05\n",
      " 9.74088e-21\n",
      " 1.15687e-05\n",
      " 0.000200069\n",
      " 0.000200069\n",
      " 0.000200069\n",
      " -2.85813e-05\n",
      " -1.27055e-21\n",
      " -2.85813e-05\n",
      " -1.24937e-20\n",
      " -2.85813e-05\n",
      " -1.2282e-20\n",
      " 1.42907e-05\n",
      " 0.000170011\n",
      " 0.000170011\n",
      " 0.000170011\n",
      " -2.42873e-05\n",
      " -1.12232e-20\n",
      " -2.42873e-05\n",
      " -1.27055e-21\n",
      " -2.42873e-05\n",
      " 1.03762e-20\n",
      " 1.21436e-05\n",
      " 0.0002061\n",
      " 0.0002061\n",
      " 0.0002061\n",
      " -2.94429e-05\n",
      " -1.69407e-21\n",
      " -2.94429e-05\n",
      " -1.3129e-20\n",
      " -2.94429e-05\n",
      " -1.14349e-20\n",
      " 1.47214e-05\n",
      " 0.000164921\n",
      " 0.000164921\n",
      " 0.000164921\n",
      " -2.35602e-05\n",
      " -1.07997e-20\n",
      " -2.35602e-05\n",
      " -1.27055e-21\n",
      " -2.35602e-05\n",
      " 9.84676e-21\n",
      " 1.17801e-05\n",
      " 0.000209666\n",
      " 0.000209666\n",
      " 0.000209666\n",
      " -2.99523e-05\n",
      " -1.35525e-20\n",
      " -2.99523e-05\n",
      " -1.27055e-21\n",
      " -2.99523e-05\n",
      " 1.18585e-20\n",
      " 1.49761e-05\n",
      " 0.000231493\n",
      " 0.000231493\n",
      " 0.000231493\n",
      " -3.30704e-05\n",
      " -1.52466e-20\n",
      " -3.30704e-05\n",
      " -2.11758e-21\n",
      " -3.30704e-05\n",
      " 1.3976e-20\n",
      " 1.65352e-05\n",
      " 0.000156087\n",
      " 0.000156087\n",
      " 0.000156087\n",
      " -2.22981e-05\n",
      " -1.02703e-20\n",
      " -2.22981e-05\n",
      " -1.48231e-21\n",
      " -2.22981e-05\n",
      " 9.1056e-21\n",
      " 1.1149e-05\n",
      " 0.000201188\n",
      " 0.000201188\n",
      " 0.000201188\n",
      " -2.87412e-05\n",
      " -8.47033e-22\n",
      " -2.87412e-05\n",
      " -1.27055e-20\n",
      " -2.87412e-05\n",
      " -1.16467e-20\n",
      " 1.43706e-05\n",
      " 0.000196863\n",
      " 0.000196863\n",
      " 0.000196863\n",
      " -2.81232e-05\n",
      " -1.2282e-20\n",
      " -2.81232e-05\n",
      " -1.27055e-21\n",
      " -2.81232e-05\n",
      " 1.10114e-20\n",
      " 1.40616e-05\n",
      " 0.000150849\n",
      " 0.000150849\n",
      " 0.000150849\n",
      " -2.15499e-05\n",
      " -1.05879e-21\n",
      " -2.15499e-05\n",
      " -9.74088e-21\n",
      " -2.15499e-05\n",
      " -8.89385e-21\n",
      " 1.07749e-05\n",
      " 0.000179312\n",
      " 0.000179312\n",
      " 0.000179312\n",
      " -2.5616e-05\n",
      " -8.47033e-22\n",
      " -2.5616e-05\n",
      " -1.15408e-20\n",
      " -2.5616e-05\n",
      " -1.03762e-20\n",
      " 1.2808e-05\n",
      " 0.000193675\n",
      " 0.000193675\n",
      " 0.000193675\n",
      " -2.76679e-05\n",
      " -1.28114e-20\n",
      " -2.76679e-05\n",
      " -1.69407e-21\n",
      " -2.76679e-05\n",
      " 1.12232e-20\n",
      " 1.3834e-05\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(mstar.AsVector())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Using the vector we can build the linear combination of the a and the m matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "mstar = m.mat.CreateMatrix()\n",
    "mstar.AsVector().data = m.mat.AsVector() + dt * a.mat.AsVector()\n",
    "invmstar = mstar.Inverse(freedofs=fes.FreeDofs())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We set the r.h.s. $f = exp(-6 ((x+\\frac12)^2+y^2)) - exp(-6 ((x-\\frac12)^2+y^2))$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "f = LinearForm(fes)\n",
    "gaussp = exp(-6*((x+0.5)*(x+0.5)+y*y))-exp(-6*((x-0.5)*(x-0.5)+y*y))\n",
    "Draw(gaussp,mesh,\"f\")\n",
    "f += gaussp*v*dx\n",
    "f.Assemble()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "and the initial data: $u_0 = (1-y^2)x$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "gfu = GridFunction(fes)\n",
    "gfu.Set((1-y*y)*x)\n",
    "Draw(gfu,mesh,\"u\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "res = gfu.vec.CreateVector()\n",
    "tstep = 1 # time that we want to step over within one block-run"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 5.0000000000000036\n",
      "CPU times: user 1.29 s, sys: 235 ms, total: 1.53 s\n",
      "Wall time: 1.67 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    res.data = dt * f.vec - dt * a.mat * gfu.vec\n",
    "    gfu.vec.data += invmstar * res\n",
    "    t_intermediate += dt\n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "print(\"\")\n",
    "time+=t_intermediate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Alternative version with iterative solvers\n",
    "\n",
    "* For a factorization of $M^\\ast$ (${M^\\ast}^{-1}$) we require a sparse matrix $M^\\ast$ \n",
    "* To store $M^\\ast$ as a sparse matrix requires new storage (and same memory layout of $A$ and $M$)\n",
    "* For iterative solvers we only require the matrix (and preconditioner) applications\n",
    "* `mstar = m.mat + dt * a.mat` has no storage but matrix-vector multiplications\n",
    "\n",
    "iterative solver version (with Jacobi preconditining):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "mstar_alt = m.mat + dt * a.mat\n",
    "premstar_alt = m.mat.CreateSmoother() + dt * a.mat.CreateSmoother()\n",
    "invmstar_alt = CGSolver(mstar_alt,premstar_alt,printrates=True)\n",
    "\n",
    "print(premstar_alt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "%%time\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    res.data = dt * f.vec - dt * a.mat * gfu.vec\n",
    "    gfu.vec.data += invmstar_alt * res\n",
    "    t_intermediate += dt\n",
    "    print(\"\\r t = {:24}, iteration steps: {}\".format(time+t_intermediate,invmstar_alt.GetSteps()), end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "print(\"\")\n",
    "time+=t_intermediate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Supplementary material:\n",
    "* [Time dependent r.h.s.](#TDRHS)\n",
    "* [Time dependent boundary data](#TDBND)\n",
    "* [Runge-Kutta time integration](#RK)\n",
    "* [VTK Output](#VTK)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Supplementary 1: time-dependent r.h.s. data <a class=\"anchor\" id=\"TDRHS\"></a>\n",
    "\n",
    "Next: time-dependent r.h.s. data $f=f(t)$:\n",
    "\n",
    "* Use `Parameter` t representing the time. \n",
    "* A `Parameter` is a constant `CoefficientFunction` the value of which can be changed with the `Set`-function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "t = Parameter(0.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "An example of a time-dependent coefficient that we want to use as r.h.s. in the following is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "omega=1\n",
    "gausspt = exp(-6*((x+sin(omega*t))*(x+sin(omega*t))+y*y))-exp(-6*((x-sin(omega*t))*(x-sin(omega*t))+y*y))\n",
    "Draw(gausspt,mesh,\"ft\",sd=4)\n",
    "time = 0.0\n",
    "while time < 10 - 0.5 * dt:\n",
    "    t.Set(time)\n",
    "    Redraw(blocking=True)\n",
    "    time += 1e-5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Accordingly we define a different linear form which then has to be assembled in every time step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "ft = LinearForm(fes)\n",
    "ft += gausspt*v*dx\n",
    "time = 0.0\n",
    "t.Set(0.0)\n",
    "gfu.Set((1-y*y)*x)\n",
    "#gfu.Set(CoefficientFunction(0))\n",
    "Draw(gfu,mesh,\"u\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "tstep = 10 # time that we want to step over within one block-run\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "res = gfu.vec.CreateVector()\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    t.Set(time+t_intermediate+dt)\n",
    "    ft.Assemble()\n",
    "    res.data = dt * ft.vec - dt * a.mat * gfu.vec\n",
    "    gfu.vec.data += invmstar * res\n",
    "    t_intermediate += dt\n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "print(\"\")\n",
    "time+=t_intermediate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Supplementary 2: Time dependent boundary conditions <a class=\"anchor\" id=\"TDBND\"></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "* $u|_{\\partial \\Omega} = u_D(t)$, $f=0$\n",
    "* implicit Euler time stepping method, non-incremental form:\n",
    "\n",
    "  $$\n",
    "    M^\\ast u^{n+1} = (M + \\Delta t A) u^{n+1} = M u^n\n",
    "  $$  \n",
    "  \n",
    "* Homogenize w.r.t. to boundary conditions, i.e. we split \n",
    "\n",
    "  $$ u^{n+1} = u^{n+1}_0 + u^{n+1}_D $$ \n",
    "  \n",
    "  where $u^{n+1}_D$ is a (discrete) function with correct boundary condition:  \n",
    "  \n",
    "$$\n",
    "  {M^\\ast} u^{n+1}_0 = M u^n - {M^\\ast} u^{n+1}_D\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "uD = CoefficientFunction( [(1-x*x)*IfPos(sin(0.3*pi*t),sin(0.3*pi*t),0),0,0,0])\n",
    "time = 0.0\n",
    "t.Set(0.0)\n",
    "gfu.Set(uD,BND)\n",
    "Draw(gfu,mesh,\"u\")\n",
    "# visualization stuff\n",
    "from ngsolve.internal import *\n",
    "visoptions.mminval = 0.0\n",
    "visoptions.mmaxval = 0.2\n",
    "visoptions.deformation = 0\n",
    "visoptions.autoscale = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "tstep = 2 # time that we want to step over within one block-run\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "res = gfu.vec.CreateVector()\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    t.Set(time+t_intermediate+dt)\n",
    "    res.data = m.mat * gfu.vec\n",
    "    gfu.Set(uD,BND)\n",
    "    res.data -= mstar * gfu.vec\n",
    "    gfu.vec.data += invmstar * res\n",
    "    t_intermediate += dt\n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "print(\"\")\n",
    "time+=t_intermediate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Supplementary 3: Singly diagonally implicit Runge-Kutta methods <a class=\"anchor\" id=\"RK\"></a>\n",
    "\n",
    "\n",
    "We consider more sophisticated time integration methods, SDIRK methods. To simplify presentation we set $f=0$.\n",
    "\n",
    "SDIRK methods for the semi-discrete problem $\\frac{d}{dt} u = M^{-1} F(u) = -M^{-1} \\cdot A u$ are of the form:\n",
    "\n",
    "$$\n",
    "  u^{n+1} = u^n + \\Delta t M^{-1} \\sum_{i=0}^{s-1} b_i k_i\n",
    "$$\n",
    "\n",
    "with\n",
    "\n",
    "$$\n",
    "k_i = - A u_i \\quad \\text{ where $u_i$ is the solution to } \\quad \n",
    "(M + a_{ii} \\Delta t A) u_i = M u^n - \\Delta t \\sum_{i=0}^{i-1} a_{ij} k_j, \\quad i=0,..,s-1.\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "The coefficients a,b and c are stored in the butcher tableau:\n",
    "\n",
    "$$\n",
    "\\begin{array}{c|cccc}\n",
    "c_0 & a_{00} & 0 & \\ddots& \\\\\n",
    "c_1 & a_{10} & a_{11} & 0 & \\ddots \\\\\n",
    "\\vdots & \\vdots & \\vdots & \\ddots & 0\\\\\n",
    "c_{s-1} & a_{s-1,0} & a_{s-1,1} & \\dots& a_{s-1,s-1} \\\\ \\hline\n",
    " & b_{0} & b_1 & \\dots& b_{s-1} \\\\\n",
    "\\end{array}\n",
    "$$\n",
    "\n",
    "For an SDIRK method we have $a^\\ast = a_{ii},~i=0,..,s-1$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Simplest example: Implicit Euler\n",
    "$$\n",
    "\\begin{array}{c|c}\n",
    "1 & 1 \\\\ \\hline\n",
    " & 1  \\\\\n",
    "\\end{array}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "class sdirk1: #order 1 (implicit Euler)\n",
    "    stages = 1\n",
    "    a = [[1]]\n",
    "    b = [1]\n",
    "    c = [1]\n",
    "    astar = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We can use for example the 2 stage SDIRK (order 3) method\n",
    "\n",
    "$$\n",
    "\\begin{array}{c|cc}\n",
    "p & p & 0 \\\\\n",
    "1-p & 1-2p & p \\\\ \\hline\n",
    " & 1/2 & 1/2 \\\\\n",
    "\\end{array}\n",
    "$$\n",
    "\n",
    "with $p = \\frac{3 - \\sqrt{3}}{6}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "class sdirk2: #order 3\n",
    "    p = (3 - sqrt(3))/6\n",
    "    stages = 2\n",
    "    a = [[p, 0], \n",
    "         [1 - 2*p, p]]\n",
    "    b = [1/2, 1/2]\n",
    "    c = [p, 1 - p]\n",
    "    astar = p\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We can use for example the 5 stage SDIRK (order 4) method\n",
    "$$\n",
    "\\begin{array}{c|cccc}\n",
    "1/4 & 1/4  \\\\\n",
    "3/4 & 1/2 & 1/4 & \\\\\n",
    "11/20 & 17/50 & -1/25 & 1/4 \\\\\n",
    "1/2 & 371/1360 & -137/2720 & 15/544 & 1/4 \\\\\n",
    "1 & 25/4 & -49/48 & 125/16 & -85/12 & 1/4 \\\\ \\hline\n",
    " & 25/4 & -49/48 & 125/16 & -85/12 & 1/4 \\\\\n",
    "\\end{array}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "class sdirk5: #order 4\n",
    "    stages = 5\n",
    "    a = [[1/4, 0, 0, 0, 0], \n",
    "         [1/2, 1/4, 0, 0, 0], \n",
    "         [17/50,-1/25, 1/4, 0, 0],\n",
    "         [371/1360, -137/2720, 15/544, 1/4,0],\n",
    "         [25/24, -49/48, 125/16, -85/12, 1/4]]\n",
    "    b = [25/24, -49/48, 125/16, -85/12, 1/4]\n",
    "    c = [1/4, 3/4, 11/20, 1/2, 1]\n",
    "    astar = 1/4    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### SDIRK2 :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "butchertab = sdirk2()   \n",
    "rhsi = gfu.vec.CreateVector()\n",
    "Mu0 = gfu.vec.CreateVector()\n",
    "ui = gfu.vec.CreateVector()\n",
    "k = [gfu.vec.CreateVector() for i in range(butchertab.stages)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We have to update the $M^\\ast$ matrix and reset initial data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "time = 0.0\n",
    "t.Set(0.0)\n",
    "gfu.Set(uD,BND)\n",
    "Draw(gfu,mesh,\"u\")\n",
    "# visualization stuff\n",
    "from ngsolve.internal import *\n",
    "visoptions.mminval = 0.0\n",
    "visoptions.mmaxval = 0.2\n",
    "visoptions.deformation = 0\n",
    "visoptions.autoscale = 0\n",
    "\n",
    "mstar.AsVector().data = m.mat.AsVector() + butchertab.astar * dt * a.mat.AsVector()\n",
    "invmstar = mstar.Inverse(freedofs=fes.FreeDofs())\n",
    "invmass = m.mat.Inverse(freedofs=fes.FreeDofs())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "tstep = 2 # time that we want to step over within one block-run\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    Mu0.data = m.mat * gfu.vec\n",
    "    for i in range(butchertab.stages):\n",
    "        # add up the ks as prescribed in the butcher tableau\n",
    "        rhsi.data = Mu0\n",
    "        for j in range(0,i):\n",
    "            rhsi.data += dt * butchertab.a[i][j] * k[j]\n",
    "        # Solve for ui (with homogenization for the boundary data)\n",
    "        t.Set(time+t_intermediate+butchertab.c[i]*dt)\n",
    "        gfu.Set(uD,BND)\n",
    "        ui.data = gfu.vec; rhsi.data -= mstar * ui\n",
    "        ui.data += invmstar * rhsi\n",
    "        # compute k[i] from ui\n",
    "        k[i].data = - a.mat * ui\n",
    "    t_intermediate += dt; t.Set(time+t_intermediate)\n",
    "    # Adding up the ks:\n",
    "    gfu.Set(uD,BND)\n",
    "    Mu0.data -= m.mat * gfu.vec\n",
    "    for i in range(0,butchertab.stages):\n",
    "        Mu0.data += dt * butchertab.b[i] * k[i]\n",
    "    gfu.vec.data += invmass * Mu0        \n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "print(\"\"); time+=t_intermediate            "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Supplementary 4: VTK Output (\"exporting the nice pictures\") <a class=\"anchor\" id=\"VTK\"></a>\n",
    "\n",
    "* see also https://ngsolve.org/blog/ngsolve/2-vtk-output\n",
    "* or `py_tutorials/vtkout.py` (ngsolve repository)\n",
    "\n",
    "Outputting the nice pictures to vtk (to visualize with paraview):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "vtk = VTKOutput(ma=mesh,coefs=[gfu],\n",
    "                names=[\"sol\"],\n",
    "                filename=\"vtk_example1\",\n",
    "                subdivision=3)\n",
    "vtk.Do()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "%%bash\n",
    "ls vtk_example1.vtk"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "You can also export vector fields:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "vtk = VTKOutput(ma=mesh,coefs=[gfu,grad(gfu)],names=[\"sol\",\"gradsol\"],filename=\"vtk_example2\",subdivision=3)\n",
    "vtk.Do()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "#%%bash\n",
    "#paraview vtk_example2.vtk"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "And time dependent data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "vtk = VTKOutput(ma=mesh,coefs=[gfu],names=[\"sol\"],filename=\"vtk_example3\",subdivision=3)\n",
    "vtk.Do()\n",
    "gfu.Set((1-y*y)*x)\n",
    "time = 0\n",
    "tstep = 1 # time that we want to step over within one block-run\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "res = gfu.vec.CreateVector()\n",
    "i = 0\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    res.data = dt * f.vec - dt * a.mat * gfu.vec\n",
    "    gfu.vec.data += invmstar * res\n",
    "    t_intermediate += dt\n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "    i += 1\n",
    "    if (i%10 == 0):\n",
    "        vtk.Do()\n",
    "print(\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "#%%bash\n",
    "#paraview vtk_example3_..vtk"
   ]
  }
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